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Finding the Third Proportional to 112,681.13 and 174,242.07

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Solution

The third proportional to 112,681.13 and 174,242.07 is: 269,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,681.13 : 174,242.07 = 174,242.07 : x
  2. Step 2: Convert to fraction form
    112,681.13/174,242.07 = 174,242.07/x
  3. Step 3: Cross multiply
    112,681.13x = 174,242.07 × 174,242.07
  4. Step 4: Simplify right side
    112,681.13x = 30,360,300,428.05
  5. Step 5: Solve for x
    x = 30,360,300,428.05/112,681.13
  6. Step 6: Final answer
    x = 269,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.