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Finding the Third Proportional to 75,306 and 160,620

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Solution

The third proportional to 75,306 and 160,620 is: 342,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306 : 160,620 = 160,620 : x
  2. Step 2: Convert to fraction form
    75,306/160,620 = 160,620/x
  3. Step 3: Cross multiply
    75,306x = 160,620 × 160,620
  4. Step 4: Simplify right side
    75,306x = 25,798,784,400
  5. Step 5: Solve for x
    x = 25,798,784,400/75,306
  6. Step 6: Final answer
    x = 342,586.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.