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Finding the Third Proportional to 45,247 and 59,502

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Solution

The third proportional to 45,247 and 59,502 is: 78,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,247 : 59,502 = 59,502 : x
  2. Step 2: Convert to fraction form
    45,247/59,502 = 59,502/x
  3. Step 3: Cross multiply
    45,247x = 59,502 × 59,502
  4. Step 4: Simplify right side
    45,247x = 3,540,488,004
  5. Step 5: Solve for x
    x = 3,540,488,004/45,247
  6. Step 6: Final answer
    x = 78,248.02

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.