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Finding the Third Proportional to 97,200 and 158,718

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Solution

The third proportional to 97,200 and 158,718 is: 259,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 158,718 = 158,718 : x
  2. Step 2: Convert to fraction form
    97,200/158,718 = 158,718/x
  3. Step 3: Cross multiply
    97,200x = 158,718 × 158,718
  4. Step 4: Simplify right side
    97,200x = 25,191,403,524
  5. Step 5: Solve for x
    x = 25,191,403,524/97,200
  6. Step 6: Final answer
    x = 259,170.82

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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.