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Finding the Third Proportional to 47,202 and 72,291

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Solution

The third proportional to 47,202 and 72,291 is: 110,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202 : 72,291 = 72,291 : x
  2. Step 2: Convert to fraction form
    47,202/72,291 = 72,291/x
  3. Step 3: Cross multiply
    47,202x = 72,291 × 72,291
  4. Step 4: Simplify right side
    47,202x = 5,225,988,681
  5. Step 5: Solve for x
    x = 5,225,988,681/47,202
  6. Step 6: Final answer
    x = 110,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.