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Finding the Third Proportional to 70,323.75 and 151,641.75

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Solution

The third proportional to 70,323.75 and 151,641.75 is: 326,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,323.75 : 151,641.75 = 151,641.75 : x
  2. Step 2: Convert to fraction form
    70,323.75/151,641.75 = 151,641.75/x
  3. Step 3: Cross multiply
    70,323.75x = 151,641.75 × 151,641.75
  4. Step 4: Simplify right side
    70,323.75x = 22,995,220,343.06
  5. Step 5: Solve for x
    x = 22,995,220,343.06/70,323.75
  6. Step 6: Final answer
    x = 326,990.82

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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.