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Finding the Third Proportional to 65,757 and 93,045

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Solution

The third proportional to 65,757 and 93,045 is: 131,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757 : 93,045 = 93,045 : x
  2. Step 2: Convert to fraction form
    65,757/93,045 = 93,045/x
  3. Step 3: Cross multiply
    65,757x = 93,045 × 93,045
  4. Step 4: Simplify right side
    65,757x = 8,657,372,025
  5. Step 5: Solve for x
    x = 8,657,372,025/65,757
  6. Step 6: Final answer
    x = 131,657.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.