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Finding the Third Proportional to 61,519.50 and 94,311

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Solution

The third proportional to 61,519.50 and 94,311 is: 144,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519.50 : 94,311 = 94,311 : x
  2. Step 2: Convert to fraction form
    61,519.50/94,311 = 94,311/x
  3. Step 3: Cross multiply
    61,519.50x = 94,311 × 94,311
  4. Step 4: Simplify right side
    61,519.50x = 8,894,564,721
  5. Step 5: Solve for x
    x = 8,894,564,721/61,519.50
  6. Step 6: Final answer
    x = 144,581.23

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