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Finding the Third Proportional to 81,506 and 168,250

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Solution

The third proportional to 81,506 and 168,250 is: 347,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506 : 168,250 = 168,250 : x
  2. Step 2: Convert to fraction form
    81,506/168,250 = 168,250/x
  3. Step 3: Cross multiply
    81,506x = 168,250 × 168,250
  4. Step 4: Simplify right side
    81,506x = 28,308,062,500
  5. Step 5: Solve for x
    x = 28,308,062,500/81,506
  6. Step 6: Final answer
    x = 347,312.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.