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Finding the Third Proportional to 48,121.48 and 72,744.45

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Solution

The third proportional to 48,121.48 and 72,744.45 is: 109,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,121.48 : 72,744.45 = 72,744.45 : x
  2. Step 2: Convert to fraction form
    48,121.48/72,744.45 = 72,744.45/x
  3. Step 3: Cross multiply
    48,121.48x = 72,744.45 × 72,744.45
  4. Step 4: Simplify right side
    48,121.48x = 5,291,754,536.94
  5. Step 5: Solve for x
    x = 5,291,754,536.94/48,121.48
  6. Step 6: Final answer
    x = 109,966.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.