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Finding the Third Proportional to 112,141.13 and 167,239.69

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Solution

The third proportional to 112,141.13 and 167,239.69 is: 249,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,141.13 : 167,239.69 = 167,239.69 : x
  2. Step 2: Convert to fraction form
    112,141.13/167,239.69 = 167,239.69/x
  3. Step 3: Cross multiply
    112,141.13x = 167,239.69 × 167,239.69
  4. Step 4: Simplify right side
    112,141.13x = 27,969,113,075.10
  5. Step 5: Solve for x
    x = 27,969,113,075.10/112,141.13
  6. Step 6: Final answer
    x = 249,409.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.