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Finding the Third Proportional to 112,608 and 158,382

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Solution

The third proportional to 112,608 and 158,382 is: 222,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,608 : 158,382 = 158,382 : x
  2. Step 2: Convert to fraction form
    112,608/158,382 = 158,382/x
  3. Step 3: Cross multiply
    112,608x = 158,382 × 158,382
  4. Step 4: Simplify right side
    112,608x = 25,084,857,924
  5. Step 5: Solve for x
    x = 25,084,857,924/112,608
  6. Step 6: Final answer
    x = 222,762.66

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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.