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Finding the Third Proportional to 48,613.50 and 100,602

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Solution

The third proportional to 48,613.50 and 100,602 is: 208,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613.50 : 100,602 = 100,602 : x
  2. Step 2: Convert to fraction form
    48,613.50/100,602 = 100,602/x
  3. Step 3: Cross multiply
    48,613.50x = 100,602 × 100,602
  4. Step 4: Simplify right side
    48,613.50x = 10,120,762,404
  5. Step 5: Solve for x
    x = 10,120,762,404/48,613.50
  6. Step 6: Final answer
    x = 208,188.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.