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Finding the Third Proportional to 61,463.81 and 92,761.03

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Solution

The third proportional to 61,463.81 and 92,761.03 is: 139,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463.81 : 92,761.03 = 92,761.03 : x
  2. Step 2: Convert to fraction form
    61,463.81/92,761.03 = 92,761.03/x
  3. Step 3: Cross multiply
    61,463.81x = 92,761.03 × 92,761.03
  4. Step 4: Simplify right side
    61,463.81x = 8,604,608,918.56
  5. Step 5: Solve for x
    x = 8,604,608,918.56/61,463.81
  6. Step 6: Final answer
    x = 139,994.72

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Why These Related Problems?

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