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Finding the Third Proportional to 67,549 and 101,359.50

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Solution

The third proportional to 67,549 and 101,359.50 is: 152,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,549 : 101,359.50 = 101,359.50 : x
  2. Step 2: Convert to fraction form
    67,549/101,359.50 = 101,359.50/x
  3. Step 3: Cross multiply
    67,549x = 101,359.50 × 101,359.50
  4. Step 4: Simplify right side
    67,549x = 10,273,748,240.25
  5. Step 5: Solve for x
    x = 10,273,748,240.25/67,549
  6. Step 6: Final answer
    x = 152,093.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.