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Finding the Third Proportional to 61,464 and 92,761.31

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Solution

The third proportional to 61,464 and 92,761.31 is: 139,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464 : 92,761.31 = 92,761.31 : x
  2. Step 2: Convert to fraction form
    61,464/92,761.31 = 92,761.31/x
  3. Step 3: Cross multiply
    61,464x = 92,761.31 × 92,761.31
  4. Step 4: Simplify right side
    61,464x = 8,604,661,096.72
  5. Step 5: Solve for x
    x = 8,604,661,096.72/61,464
  6. Step 6: Final answer
    x = 139,995.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.