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Finding the Third Proportional to 112,437 and 170,958

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Solution

The third proportional to 112,437 and 170,958 is: 259,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,437 : 170,958 = 170,958 : x
  2. Step 2: Convert to fraction form
    112,437/170,958 = 170,958/x
  3. Step 3: Cross multiply
    112,437x = 170,958 × 170,958
  4. Step 4: Simplify right side
    112,437x = 29,226,637,764
  5. Step 5: Solve for x
    x = 29,226,637,764/112,437
  6. Step 6: Final answer
    x = 259,937.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.