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Finding the Third Proportional to 75,294 and 160,584

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Solution

The third proportional to 75,294 and 160,584 is: 342,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294 : 160,584 = 160,584 : x
  2. Step 2: Convert to fraction form
    75,294/160,584 = 160,584/x
  3. Step 3: Cross multiply
    75,294x = 160,584 × 160,584
  4. Step 4: Simplify right side
    75,294x = 25,787,221,056
  5. Step 5: Solve for x
    x = 25,787,221,056/75,294
  6. Step 6: Final answer
    x = 342,487.06

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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.