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Finding the Third Proportional to 44,402 and 95,102

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Solution

The third proportional to 44,402 and 95,102 is: 203,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,402 : 95,102 = 95,102 : x
  2. Step 2: Convert to fraction form
    44,402/95,102 = 95,102/x
  3. Step 3: Cross multiply
    44,402x = 95,102 × 95,102
  4. Step 4: Simplify right side
    44,402x = 9,044,390,404
  5. Step 5: Solve for x
    x = 9,044,390,404/44,402
  6. Step 6: Final answer
    x = 203,693.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.