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Finding the Third Proportional to 65,701.13 and 99,371.81

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Solution

The third proportional to 65,701.13 and 99,371.81 is: 150,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 99,371.81 = 99,371.81 : x
  2. Step 2: Convert to fraction form
    65,701.13/99,371.81 = 99,371.81/x
  3. Step 3: Cross multiply
    65,701.13x = 99,371.81 × 99,371.81
  4. Step 4: Simplify right side
    65,701.13x = 9,874,757,119.54
  5. Step 5: Solve for x
    x = 9,874,757,119.54/65,701.13
  6. Step 6: Final answer
    x = 150,298.14

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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.