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Finding the Third Proportional to 101,035.13 and 158,032.69

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Solution

The third proportional to 101,035.13 and 158,032.69 is: 247,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,035.13 : 158,032.69 = 158,032.69 : x
  2. Step 2: Convert to fraction form
    101,035.13/158,032.69 = 158,032.69/x
  3. Step 3: Cross multiply
    101,035.13x = 158,032.69 × 158,032.69
  4. Step 4: Simplify right side
    101,035.13x = 24,974,330,318.47
  5. Step 5: Solve for x
    x = 24,974,330,318.47/101,035.13
  6. Step 6: Final answer
    x = 247,184.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.