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Finding the Third Proportional to 48,260 and 72,902

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Solution

The third proportional to 48,260 and 72,902 is: 110,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,260 : 72,902 = 72,902 : x
  2. Step 2: Convert to fraction form
    48,260/72,902 = 72,902/x
  3. Step 3: Cross multiply
    48,260x = 72,902 × 72,902
  4. Step 4: Simplify right side
    48,260x = 5,314,701,604
  5. Step 5: Solve for x
    x = 5,314,701,604/48,260
  6. Step 6: Final answer
    x = 110,126.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.