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Finding the Third Proportional to 112,090.50 and 166,547.63

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Solution

The third proportional to 112,090.50 and 166,547.63 is: 247,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,090.50 : 166,547.63 = 166,547.63 : x
  2. Step 2: Convert to fraction form
    112,090.50/166,547.63 = 166,547.63/x
  3. Step 3: Cross multiply
    112,090.50x = 166,547.63 × 166,547.63
  4. Step 4: Simplify right side
    112,090.50x = 27,738,111,393.14
  5. Step 5: Solve for x
    x = 27,738,111,393.14/112,090.50
  6. Step 6: Final answer
    x = 247,461.75

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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.