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Finding the Third Proportional to 61,654.50 and 134,381

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Solution

The third proportional to 61,654.50 and 134,381 is: 292,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,654.50 : 134,381 = 134,381 : x
  2. Step 2: Convert to fraction form
    61,654.50/134,381 = 134,381/x
  3. Step 3: Cross multiply
    61,654.50x = 134,381 × 134,381
  4. Step 4: Simplify right side
    61,654.50x = 18,058,253,161
  5. Step 5: Solve for x
    x = 18,058,253,161/61,654.50
  6. Step 6: Final answer
    x = 292,894.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.