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Finding the Third Proportional to 67,252.50 and 147,566

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Solution

The third proportional to 67,252.50 and 147,566 is: 323,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,252.50 : 147,566 = 147,566 : x
  2. Step 2: Convert to fraction form
    67,252.50/147,566 = 147,566/x
  3. Step 3: Cross multiply
    67,252.50x = 147,566 × 147,566
  4. Step 4: Simplify right side
    67,252.50x = 21,775,724,356
  5. Step 5: Solve for x
    x = 21,775,724,356/67,252.50
  6. Step 6: Final answer
    x = 323,790.56

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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.