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Finding the Third Proportional to 83,106 and 172,348

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Solution

The third proportional to 83,106 and 172,348 is: 357,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106 : 172,348 = 172,348 : x
  2. Step 2: Convert to fraction form
    83,106/172,348 = 172,348/x
  3. Step 3: Cross multiply
    83,106x = 172,348 × 172,348
  4. Step 4: Simplify right side
    83,106x = 29,703,833,104
  5. Step 5: Solve for x
    x = 29,703,833,104/83,106
  6. Step 6: Final answer
    x = 357,421.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.