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Finding the Third Proportional to 63,348 and 95,140

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Solution

The third proportional to 63,348 and 95,140 is: 142,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,348 : 95,140 = 95,140 : x
  2. Step 2: Convert to fraction form
    63,348/95,140 = 95,140/x
  3. Step 3: Cross multiply
    63,348x = 95,140 × 95,140
  4. Step 4: Simplify right side
    63,348x = 9,051,619,600
  5. Step 5: Solve for x
    x = 9,051,619,600/63,348
  6. Step 6: Final answer
    x = 142,887.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.