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Finding the Third Proportional to 82,282.50 and 122,882.06

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Solution

The third proportional to 82,282.50 and 122,882.06 is: 183,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282.50 : 122,882.06 = 122,882.06 : x
  2. Step 2: Convert to fraction form
    82,282.50/122,882.06 = 122,882.06/x
  3. Step 3: Cross multiply
    82,282.50x = 122,882.06 × 122,882.06
  4. Step 4: Simplify right side
    82,282.50x = 15,100,001,284.25
  5. Step 5: Solve for x
    x = 15,100,001,284.25/82,282.50
  6. Step 6: Final answer
    x = 183,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.