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Finding the Third Proportional to 125,432.93 and 178,806.87

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Solution

The third proportional to 125,432.93 and 178,806.87 is: 254,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,432.93 : 178,806.87 = 178,806.87 : x
  2. Step 2: Convert to fraction form
    125,432.93/178,806.87 = 178,806.87/x
  3. Step 3: Cross multiply
    125,432.93x = 178,806.87 × 178,806.87
  4. Step 4: Simplify right side
    125,432.93x = 31,971,895,753.41
  5. Step 5: Solve for x
    x = 31,971,895,753.41/125,432.93
  6. Step 6: Final answer
    x = 254,892.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.