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Finding the Third Proportional to 63,046 and 95,880

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Solution

The third proportional to 63,046 and 95,880 is: 145,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,046 : 95,880 = 95,880 : x
  2. Step 2: Convert to fraction form
    63,046/95,880 = 95,880/x
  3. Step 3: Cross multiply
    63,046x = 95,880 × 95,880
  4. Step 4: Simplify right side
    63,046x = 9,192,974,400
  5. Step 5: Solve for x
    x = 9,192,974,400/63,046
  6. Step 6: Final answer
    x = 145,813.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.