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Finding the Third Proportional to 75,288 and 160,572

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Solution

The third proportional to 75,288 and 160,572 is: 342,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288 : 160,572 = 160,572 : x
  2. Step 2: Convert to fraction form
    75,288/160,572 = 160,572/x
  3. Step 3: Cross multiply
    75,288x = 160,572 × 160,572
  4. Step 4: Simplify right side
    75,288x = 25,783,367,184
  5. Step 5: Solve for x
    x = 25,783,367,184/75,288
  6. Step 6: Final answer
    x = 342,463.17

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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.