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Finding the Third Proportional to 63,440 and 95,007

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Solution

The third proportional to 63,440 and 95,007 is: 142,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,440 : 95,007 = 95,007 : x
  2. Step 2: Convert to fraction form
    63,440/95,007 = 95,007/x
  3. Step 3: Cross multiply
    63,440x = 95,007 × 95,007
  4. Step 4: Simplify right side
    63,440x = 9,026,330,049
  5. Step 5: Solve for x
    x = 9,026,330,049/63,440
  6. Step 6: Final answer
    x = 142,281.37

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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.