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Finding the Third Proportional to 133,869.94 and 281,545.31

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Solution

The third proportional to 133,869.94 and 281,545.31 is: 592,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869.94 : 281,545.31 = 281,545.31 : x
  2. Step 2: Convert to fraction form
    133,869.94/281,545.31 = 281,545.31/x
  3. Step 3: Cross multiply
    133,869.94x = 281,545.31 × 281,545.31
  4. Step 4: Simplify right side
    133,869.94x = 79,267,762,990.72
  5. Step 5: Solve for x
    x = 79,267,762,990.72/133,869.94
  6. Step 6: Final answer
    x = 592,125.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.