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Finding the Third Proportional to 90,721.50 and 141,050

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Solution

The third proportional to 90,721.50 and 141,050 is: 219,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,721.50 : 141,050 = 141,050 : x
  2. Step 2: Convert to fraction form
    90,721.50/141,050 = 141,050/x
  3. Step 3: Cross multiply
    90,721.50x = 141,050 × 141,050
  4. Step 4: Simplify right side
    90,721.50x = 19,895,102,500
  5. Step 5: Solve for x
    x = 19,895,102,500/90,721.50
  6. Step 6: Final answer
    x = 219,298.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.