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Finding the Third Proportional to 48,890 and 77,711

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Solution

The third proportional to 48,890 and 77,711 is: 123,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,890 : 77,711 = 77,711 : x
  2. Step 2: Convert to fraction form
    48,890/77,711 = 77,711/x
  3. Step 3: Cross multiply
    48,890x = 77,711 × 77,711
  4. Step 4: Simplify right side
    48,890x = 6,038,999,521
  5. Step 5: Solve for x
    x = 6,038,999,521/48,890
  6. Step 6: Final answer
    x = 123,522.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.