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Finding the Third Proportional to 84,033 and 177,246

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Solution

The third proportional to 84,033 and 177,246 is: 373,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033 : 177,246 = 177,246 : x
  2. Step 2: Convert to fraction form
    84,033/177,246 = 177,246/x
  3. Step 3: Cross multiply
    84,033x = 177,246 × 177,246
  4. Step 4: Simplify right side
    84,033x = 31,416,144,516
  5. Step 5: Solve for x
    x = 31,416,144,516/84,033
  6. Step 6: Final answer
    x = 373,854.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.