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Finding the Third Proportional to 71,397 and 93,835

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Solution

The third proportional to 71,397 and 93,835 is: 123,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397 : 93,835 = 93,835 : x
  2. Step 2: Convert to fraction form
    71,397/93,835 = 93,835/x
  3. Step 3: Cross multiply
    71,397x = 93,835 × 93,835
  4. Step 4: Simplify right side
    71,397x = 8,805,007,225
  5. Step 5: Solve for x
    x = 8,805,007,225/71,397
  6. Step 6: Final answer
    x = 123,324.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.