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Finding the Third Proportional to 60,475 and 131,700

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Solution

The third proportional to 60,475 and 131,700 is: 286,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,475 : 131,700 = 131,700 : x
  2. Step 2: Convert to fraction form
    60,475/131,700 = 131,700/x
  3. Step 3: Cross multiply
    60,475x = 131,700 × 131,700
  4. Step 4: Simplify right side
    60,475x = 17,344,890,000
  5. Step 5: Solve for x
    x = 17,344,890,000/60,475
  6. Step 6: Final answer
    x = 286,810.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.