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Finding the Third Proportional to 113,510 and 170,265

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Solution

The third proportional to 113,510 and 170,265 is: 255,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,510 : 170,265 = 170,265 : x
  2. Step 2: Convert to fraction form
    113,510/170,265 = 170,265/x
  3. Step 3: Cross multiply
    113,510x = 170,265 × 170,265
  4. Step 4: Simplify right side
    113,510x = 28,990,170,225
  5. Step 5: Solve for x
    x = 28,990,170,225/113,510
  6. Step 6: Final answer
    x = 255,397.50

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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.