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Finding the Third Proportional to 61,860 and 132,468

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Solution

The third proportional to 61,860 and 132,468 is: 283,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,860 : 132,468 = 132,468 : x
  2. Step 2: Convert to fraction form
    61,860/132,468 = 132,468/x
  3. Step 3: Cross multiply
    61,860x = 132,468 × 132,468
  4. Step 4: Simplify right side
    61,860x = 17,547,771,024
  5. Step 5: Solve for x
    x = 17,547,771,024/61,860
  6. Step 6: Final answer
    x = 283,669.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.