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Finding the Third Proportional to 113,670 and 170,508

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Solution

The third proportional to 113,670 and 170,508 is: 255,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,670 : 170,508 = 170,508 : x
  2. Step 2: Convert to fraction form
    113,670/170,508 = 170,508/x
  3. Step 3: Cross multiply
    113,670x = 170,508 × 170,508
  4. Step 4: Simplify right side
    113,670x = 29,072,978,064
  5. Step 5: Solve for x
    x = 29,072,978,064/113,670
  6. Step 6: Final answer
    x = 255,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.