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Finding the Third Proportional to 59,680 and 131,354

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Solution

The third proportional to 59,680 and 131,354 is: 289,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,680 : 131,354 = 131,354 : x
  2. Step 2: Convert to fraction form
    59,680/131,354 = 131,354/x
  3. Step 3: Cross multiply
    59,680x = 131,354 × 131,354
  4. Step 4: Simplify right side
    59,680x = 17,253,873,316
  5. Step 5: Solve for x
    x = 17,253,873,316/59,680
  6. Step 6: Final answer
    x = 289,106.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.