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Finding the Third Proportional to 61,431 and 94,088

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Solution

The third proportional to 61,431 and 94,088 is: 144,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431 : 94,088 = 94,088 : x
  2. Step 2: Convert to fraction form
    61,431/94,088 = 94,088/x
  3. Step 3: Cross multiply
    61,431x = 94,088 × 94,088
  4. Step 4: Simplify right side
    61,431x = 8,852,551,744
  5. Step 5: Solve for x
    x = 8,852,551,744/61,431
  6. Step 6: Final answer
    x = 144,105.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.