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Finding the Third Proportional to 113,714 and 170,572

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Solution

The third proportional to 113,714 and 170,572 is: 255,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714 : 170,572 = 170,572 : x
  2. Step 2: Convert to fraction form
    113,714/170,572 = 170,572/x
  3. Step 3: Cross multiply
    113,714x = 170,572 × 170,572
  4. Step 4: Simplify right side
    113,714x = 29,094,807,184
  5. Step 5: Solve for x
    x = 29,094,807,184/113,714
  6. Step 6: Final answer
    x = 255,859.50

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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.