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Finding the Third Proportional to 61,290 and 97,761

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Solution

The third proportional to 61,290 and 97,761 is: 155,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 97,761 = 97,761 : x
  2. Step 2: Convert to fraction form
    61,290/97,761 = 97,761/x
  3. Step 3: Cross multiply
    61,290x = 97,761 × 97,761
  4. Step 4: Simplify right side
    61,290x = 9,557,213,121
  5. Step 5: Solve for x
    x = 9,557,213,121/61,290
  6. Step 6: Final answer
    x = 155,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.