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Finding the Third Proportional to 83,226 and 121,724

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Solution

The third proportional to 83,226 and 121,724 is: 178,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226 : 121,724 = 121,724 : x
  2. Step 2: Convert to fraction form
    83,226/121,724 = 121,724/x
  3. Step 3: Cross multiply
    83,226x = 121,724 × 121,724
  4. Step 4: Simplify right side
    83,226x = 14,816,732,176
  5. Step 5: Solve for x
    x = 14,816,732,176/83,226
  6. Step 6: Final answer
    x = 178,030.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.