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Finding the Third Proportional to 61,448 and 97,708

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Solution

The third proportional to 61,448 and 97,708 is: 155,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,448 : 97,708 = 97,708 : x
  2. Step 2: Convert to fraction form
    61,448/97,708 = 97,708/x
  3. Step 3: Cross multiply
    61,448x = 97,708 × 97,708
  4. Step 4: Simplify right side
    61,448x = 9,546,853,264
  5. Step 5: Solve for x
    x = 9,546,853,264/61,448
  6. Step 6: Final answer
    x = 155,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.