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Finding the Third Proportional to 40,909 and 84,428

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Solution

The third proportional to 40,909 and 84,428 is: 174,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909 : 84,428 = 84,428 : x
  2. Step 2: Convert to fraction form
    40,909/84,428 = 84,428/x
  3. Step 3: Cross multiply
    40,909x = 84,428 × 84,428
  4. Step 4: Simplify right side
    40,909x = 7,128,087,184
  5. Step 5: Solve for x
    x = 7,128,087,184/40,909
  6. Step 6: Final answer
    x = 174,242.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.