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Finding the Third Proportional to 73,543.50 and 158,748.75

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Solution

The third proportional to 73,543.50 and 158,748.75 is: 342,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,543.50 : 158,748.75 = 158,748.75 : x
  2. Step 2: Convert to fraction form
    73,543.50/158,748.75 = 158,748.75/x
  3. Step 3: Cross multiply
    73,543.50x = 158,748.75 × 158,748.75
  4. Step 4: Simplify right side
    73,543.50x = 25,201,165,626.56
  5. Step 5: Solve for x
    x = 25,201,165,626.56/73,543.50
  6. Step 6: Final answer
    x = 342,670.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.