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Finding the Third Proportional to 63,623 and 95,403

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Solution

The third proportional to 63,623 and 95,403 is: 143,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,623 : 95,403 = 95,403 : x
  2. Step 2: Convert to fraction form
    63,623/95,403 = 95,403/x
  3. Step 3: Cross multiply
    63,623x = 95,403 × 95,403
  4. Step 4: Simplify right side
    63,623x = 9,101,732,409
  5. Step 5: Solve for x
    x = 9,101,732,409/63,623
  6. Step 6: Final answer
    x = 143,057.27

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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.