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Finding the Third Proportional to 90,730.13 and 141,063.19

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Solution

The third proportional to 90,730.13 and 141,063.19 is: 219,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730.13 : 141,063.19 = 141,063.19 : x
  2. Step 2: Convert to fraction form
    90,730.13/141,063.19 = 141,063.19/x
  3. Step 3: Cross multiply
    90,730.13x = 141,063.19 × 141,063.19
  4. Step 4: Simplify right side
    90,730.13x = 19,898,822,867.66
  5. Step 5: Solve for x
    x = 19,898,822,867.66/90,730.13
  6. Step 6: Final answer
    x = 219,318.81

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Why These Related Problems?

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