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Finding the Third Proportional to 61,616 and 97,952

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Solution

The third proportional to 61,616 and 97,952 is: 155,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,616 : 97,952 = 97,952 : x
  2. Step 2: Convert to fraction form
    61,616/97,952 = 97,952/x
  3. Step 3: Cross multiply
    61,616x = 97,952 × 97,952
  4. Step 4: Simplify right side
    61,616x = 9,594,594,304
  5. Step 5: Solve for x
    x = 9,594,594,304/61,616
  6. Step 6: Final answer
    x = 155,715.96

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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.