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Finding the Third Proportional to 60,737 and 95,270

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Solution

The third proportional to 60,737 and 95,270 is: 149,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,737 : 95,270 = 95,270 : x
  2. Step 2: Convert to fraction form
    60,737/95,270 = 95,270/x
  3. Step 3: Cross multiply
    60,737x = 95,270 × 95,270
  4. Step 4: Simplify right side
    60,737x = 9,076,372,900
  5. Step 5: Solve for x
    x = 9,076,372,900/60,737
  6. Step 6: Final answer
    x = 149,437.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.