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Finding the Third Proportional to 112,387 and 158,090

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Solution

The third proportional to 112,387 and 158,090 is: 222,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,387 : 158,090 = 158,090 : x
  2. Step 2: Convert to fraction form
    112,387/158,090 = 158,090/x
  3. Step 3: Cross multiply
    112,387x = 158,090 × 158,090
  4. Step 4: Simplify right side
    112,387x = 24,992,448,100
  5. Step 5: Solve for x
    x = 24,992,448,100/112,387
  6. Step 6: Final answer
    x = 222,378.46

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