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Finding the Third Proportional to 42,864.19 and 89,722.69

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Solution

The third proportional to 42,864.19 and 89,722.69 is: 187,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864.19 : 89,722.69 = 89,722.69 : x
  2. Step 2: Convert to fraction form
    42,864.19/89,722.69 = 89,722.69/x
  3. Step 3: Cross multiply
    42,864.19x = 89,722.69 × 89,722.69
  4. Step 4: Simplify right side
    42,864.19x = 8,050,160,652.22
  5. Step 5: Solve for x
    x = 8,050,160,652.22/42,864.19
  6. Step 6: Final answer
    x = 187,806.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.