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Finding the Third Proportional to 67,524 and 147,758

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Solution

The third proportional to 67,524 and 147,758 is: 323,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,524 : 147,758 = 147,758 : x
  2. Step 2: Convert to fraction form
    67,524/147,758 = 147,758/x
  3. Step 3: Cross multiply
    67,524x = 147,758 × 147,758
  4. Step 4: Simplify right side
    67,524x = 21,832,426,564
  5. Step 5: Solve for x
    x = 21,832,426,564/67,524
  6. Step 6: Final answer
    x = 323,328.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.