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Finding the Third Proportional to 67,598 and 150,724

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Solution

The third proportional to 67,598 and 150,724 is: 336,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,598 : 150,724 = 150,724 : x
  2. Step 2: Convert to fraction form
    67,598/150,724 = 150,724/x
  3. Step 3: Cross multiply
    67,598x = 150,724 × 150,724
  4. Step 4: Simplify right side
    67,598x = 22,717,724,176
  5. Step 5: Solve for x
    x = 22,717,724,176/67,598
  6. Step 6: Final answer
    x = 336,070.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.