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Finding the Third Proportional to 97,192 and 158,708

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Solution

The third proportional to 97,192 and 158,708 is: 259,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192 : 158,708 = 158,708 : x
  2. Step 2: Convert to fraction form
    97,192/158,708 = 158,708/x
  3. Step 3: Cross multiply
    97,192x = 158,708 × 158,708
  4. Step 4: Simplify right side
    97,192x = 25,188,229,264
  5. Step 5: Solve for x
    x = 25,188,229,264/97,192
  6. Step 6: Final answer
    x = 259,159.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.