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Finding the Third Proportional to 96,639 and 144,508.50

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Solution

The third proportional to 96,639 and 144,508.50 is: 216,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,639 : 144,508.50 = 144,508.50 : x
  2. Step 2: Convert to fraction form
    96,639/144,508.50 = 144,508.50/x
  3. Step 3: Cross multiply
    96,639x = 144,508.50 × 144,508.50
  4. Step 4: Simplify right side
    96,639x = 20,882,706,572.25
  5. Step 5: Solve for x
    x = 20,882,706,572.25/96,639
  6. Step 6: Final answer
    x = 216,089.85

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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.