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Finding the Third Proportional to 59,737 and 93,235

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Solution

The third proportional to 59,737 and 93,235 is: 145,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,737 : 93,235 = 93,235 : x
  2. Step 2: Convert to fraction form
    59,737/93,235 = 93,235/x
  3. Step 3: Cross multiply
    59,737x = 93,235 × 93,235
  4. Step 4: Simplify right side
    59,737x = 8,692,765,225
  5. Step 5: Solve for x
    x = 8,692,765,225/59,737
  6. Step 6: Final answer
    x = 145,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.