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Finding the Third Proportional to 48,301 and 103,681

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Solution

The third proportional to 48,301 and 103,681 is: 222,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301 : 103,681 = 103,681 : x
  2. Step 2: Convert to fraction form
    48,301/103,681 = 103,681/x
  3. Step 3: Cross multiply
    48,301x = 103,681 × 103,681
  4. Step 4: Simplify right side
    48,301x = 10,749,749,761
  5. Step 5: Solve for x
    x = 10,749,749,761/48,301
  6. Step 6: Final answer
    x = 222,557.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.