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Finding the Third Proportional to 129,103 and 176,007.50

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Solution

The third proportional to 129,103 and 176,007.50 is: 239,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,103 : 176,007.50 = 176,007.50 : x
  2. Step 2: Convert to fraction form
    129,103/176,007.50 = 176,007.50/x
  3. Step 3: Cross multiply
    129,103x = 176,007.50 × 176,007.50
  4. Step 4: Simplify right side
    129,103x = 30,978,640,056.25
  5. Step 5: Solve for x
    x = 30,978,640,056.25/129,103
  6. Step 6: Final answer
    x = 239,952.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.