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Finding the Third Proportional to 48,051 and 101,637

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Solution

The third proportional to 48,051 and 101,637 is: 214,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051 : 101,637 = 101,637 : x
  2. Step 2: Convert to fraction form
    48,051/101,637 = 101,637/x
  3. Step 3: Cross multiply
    48,051x = 101,637 × 101,637
  4. Step 4: Simplify right side
    48,051x = 10,330,079,769
  5. Step 5: Solve for x
    x = 10,330,079,769/48,051
  6. Step 6: Final answer
    x = 214,981.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.