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Finding the Third Proportional to 113,710 and 170,578

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Solution

The third proportional to 113,710 and 170,578 is: 255,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,710 : 170,578 = 170,578 : x
  2. Step 2: Convert to fraction form
    113,710/170,578 = 170,578/x
  3. Step 3: Cross multiply
    113,710x = 170,578 × 170,578
  4. Step 4: Simplify right side
    113,710x = 29,096,854,084
  5. Step 5: Solve for x
    x = 29,096,854,084/113,710
  6. Step 6: Final answer
    x = 255,886.50

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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.