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Finding the Third Proportional to 52,839.20 and 93,125.43

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Solution

The third proportional to 52,839.20 and 93,125.43 is: 164,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,839.20 : 93,125.43 = 93,125.43 : x
  2. Step 2: Convert to fraction form
    52,839.20/93,125.43 = 93,125.43/x
  3. Step 3: Cross multiply
    52,839.20x = 93,125.43 × 93,125.43
  4. Step 4: Simplify right side
    52,839.20x = 8,672,346,461.60
  5. Step 5: Solve for x
    x = 8,672,346,461.60/52,839.20
  6. Step 6: Final answer
    x = 164,127.15

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.