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Finding the Third Proportional to 42,532 and 93,124

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Solution

The third proportional to 42,532 and 93,124 is: 203,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532 : 93,124 = 93,124 : x
  2. Step 2: Convert to fraction form
    42,532/93,124 = 93,124/x
  3. Step 3: Cross multiply
    42,532x = 93,124 × 93,124
  4. Step 4: Simplify right side
    42,532x = 8,672,079,376
  5. Step 5: Solve for x
    x = 8,672,079,376/42,532
  6. Step 6: Final answer
    x = 203,895.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.