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Finding the Third Proportional to 73,720.13 and 159,924.38

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Solution

The third proportional to 73,720.13 and 159,924.38 is: 346,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720.13 : 159,924.38 = 159,924.38 : x
  2. Step 2: Convert to fraction form
    73,720.13/159,924.38 = 159,924.38/x
  3. Step 3: Cross multiply
    73,720.13x = 159,924.38 × 159,924.38
  4. Step 4: Simplify right side
    73,720.13x = 25,575,805,719.14
  5. Step 5: Solve for x
    x = 25,575,805,719.14/73,720.13
  6. Step 6: Final answer
    x = 346,931.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.