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Finding the Third Proportional to 45,046.13 and 73,720.13

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Solution

The third proportional to 45,046.13 and 73,720.13 is: 120,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,046.13 : 73,720.13 = 73,720.13 : x
  2. Step 2: Convert to fraction form
    45,046.13/73,720.13 = 73,720.13/x
  3. Step 3: Cross multiply
    45,046.13x = 73,720.13 × 73,720.13
  4. Step 4: Simplify right side
    45,046.13x = 5,434,656,830.02
  5. Step 5: Solve for x
    x = 5,434,656,830.02/45,046.13
  6. Step 6: Final answer
    x = 120,646.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.