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Finding the Third Proportional to 65,148.75 and 103,243.13

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Solution

The third proportional to 65,148.75 and 103,243.13 is: 163,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.75 : 103,243.13 = 103,243.13 : x
  2. Step 2: Convert to fraction form
    65,148.75/103,243.13 = 103,243.13/x
  3. Step 3: Cross multiply
    65,148.75x = 103,243.13 × 103,243.13
  4. Step 4: Simplify right side
    65,148.75x = 10,659,142,859.77
  5. Step 5: Solve for x
    x = 10,659,142,859.77/65,148.75
  6. Step 6: Final answer
    x = 163,612.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.