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Finding the Third Proportional to 134,723.50 and 187,320.50

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Solution

The third proportional to 134,723.50 and 187,320.50 is: 260,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,723.50 : 187,320.50 = 187,320.50 : x
  2. Step 2: Convert to fraction form
    134,723.50/187,320.50 = 187,320.50/x
  3. Step 3: Cross multiply
    134,723.50x = 187,320.50 × 187,320.50
  4. Step 4: Simplify right side
    134,723.50x = 35,088,969,720.25
  5. Step 5: Solve for x
    x = 35,088,969,720.25/134,723.50
  6. Step 6: Final answer
    x = 260,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.