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Finding the Third Proportional to 112,594 and 158,340

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Solution

The third proportional to 112,594 and 158,340 is: 222,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,594 : 158,340 = 158,340 : x
  2. Step 2: Convert to fraction form
    112,594/158,340 = 158,340/x
  3. Step 3: Cross multiply
    112,594x = 158,340 × 158,340
  4. Step 4: Simplify right side
    112,594x = 25,071,555,600
  5. Step 5: Solve for x
    x = 25,071,555,600/112,594
  6. Step 6: Final answer
    x = 222,672.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.