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Finding the Third Proportional to 82,122.19 and 155,657.53

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Solution

The third proportional to 82,122.19 and 155,657.53 is: 295,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.19 : 155,657.53 = 155,657.53 : x
  2. Step 2: Convert to fraction form
    82,122.19/155,657.53 = 155,657.53/x
  3. Step 3: Cross multiply
    82,122.19x = 155,657.53 × 155,657.53
  4. Step 4: Simplify right side
    82,122.19x = 24,229,267,034.84
  5. Step 5: Solve for x
    x = 24,229,267,034.84/82,122.19
  6. Step 6: Final answer
    x = 295,039.23

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.