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Finding the Third Proportional to 85,707 and 128,479.50

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Solution

The third proportional to 85,707 and 128,479.50 is: 192,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,707 : 128,479.50 = 128,479.50 : x
  2. Step 2: Convert to fraction form
    85,707/128,479.50 = 128,479.50/x
  3. Step 3: Cross multiply
    85,707x = 128,479.50 × 128,479.50
  4. Step 4: Simplify right side
    85,707x = 16,506,981,920.25
  5. Step 5: Solve for x
    x = 16,506,981,920.25/85,707
  6. Step 6: Final answer
    x = 192,597.83

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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.