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Finding the Third Proportional to 91,026.28 and 141,329.81

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Solution

The third proportional to 91,026.28 and 141,329.81 is: 219,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,026.28 : 141,329.81 = 141,329.81 : x
  2. Step 2: Convert to fraction form
    91,026.28/141,329.81 = 141,329.81/x
  3. Step 3: Cross multiply
    91,026.28x = 141,329.81 × 141,329.81
  4. Step 4: Simplify right side
    91,026.28x = 19,974,115,901.29
  5. Step 5: Solve for x
    x = 19,974,115,901.29/91,026.28
  6. Step 6: Final answer
    x = 219,432.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.