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Finding the Third Proportional to 69,524 and 151,464

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Solution

The third proportional to 69,524 and 151,464 is: 329,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,524 : 151,464 = 151,464 : x
  2. Step 2: Convert to fraction form
    69,524/151,464 = 151,464/x
  3. Step 3: Cross multiply
    69,524x = 151,464 × 151,464
  4. Step 4: Simplify right side
    69,524x = 22,941,343,296
  5. Step 5: Solve for x
    x = 22,941,343,296/69,524
  6. Step 6: Final answer
    x = 329,977.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.