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Finding the Third Proportional to 61,066 and 131,339

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Solution

The third proportional to 61,066 and 131,339 is: 282,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,066 : 131,339 = 131,339 : x
  2. Step 2: Convert to fraction form
    61,066/131,339 = 131,339/x
  3. Step 3: Cross multiply
    61,066x = 131,339 × 131,339
  4. Step 4: Simplify right side
    61,066x = 17,249,932,921
  5. Step 5: Solve for x
    x = 17,249,932,921/61,066
  6. Step 6: Final answer
    x = 282,480.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.