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Finding the Third Proportional to 91,352 and 143,339

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Solution

The third proportional to 91,352 and 143,339 is: 224,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,352 : 143,339 = 143,339 : x
  2. Step 2: Convert to fraction form
    91,352/143,339 = 143,339/x
  3. Step 3: Cross multiply
    91,352x = 143,339 × 143,339
  4. Step 4: Simplify right side
    91,352x = 20,546,068,921
  5. Step 5: Solve for x
    x = 20,546,068,921/91,352
  6. Step 6: Final answer
    x = 224,910.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.