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Finding the Third Proportional to 48,127 and 116,625

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Solution

The third proportional to 48,127 and 116,625 is: 282,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,127 : 116,625 = 116,625 : x
  2. Step 2: Convert to fraction form
    48,127/116,625 = 116,625/x
  3. Step 3: Cross multiply
    48,127x = 116,625 × 116,625
  4. Step 4: Simplify right side
    48,127x = 13,601,390,625
  5. Step 5: Solve for x
    x = 13,601,390,625/48,127
  6. Step 6: Final answer
    x = 282,614.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.