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Finding the Third Proportional to 48,520 and 77,154

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Solution

The third proportional to 48,520 and 77,154 is: 122,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520 : 77,154 = 77,154 : x
  2. Step 2: Convert to fraction form
    48,520/77,154 = 77,154/x
  3. Step 3: Cross multiply
    48,520x = 77,154 × 77,154
  4. Step 4: Simplify right side
    48,520x = 5,952,739,716
  5. Step 5: Solve for x
    x = 5,952,739,716/48,520
  6. Step 6: Final answer
    x = 122,686.31

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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.