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Finding the Third Proportional to 81,088.50 and 121,306.50

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Solution

The third proportional to 81,088.50 and 121,306.50 is: 181,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,088.50 : 121,306.50 = 121,306.50 : x
  2. Step 2: Convert to fraction form
    81,088.50/121,306.50 = 121,306.50/x
  3. Step 3: Cross multiply
    81,088.50x = 121,306.50 × 121,306.50
  4. Step 4: Simplify right side
    81,088.50x = 14,715,266,942.25
  5. Step 5: Solve for x
    x = 14,715,266,942.25/81,088.50
  6. Step 6: Final answer
    x = 181,471.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.