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Finding the Third Proportional to 98,523 and 152,867

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Solution

The third proportional to 98,523 and 152,867 is: 237,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 152,867 = 152,867 : x
  2. Step 2: Convert to fraction form
    98,523/152,867 = 152,867/x
  3. Step 3: Cross multiply
    98,523x = 152,867 × 152,867
  4. Step 4: Simplify right side
    98,523x = 23,368,319,689
  5. Step 5: Solve for x
    x = 23,368,319,689/98,523
  6. Step 6: Final answer
    x = 237,186.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.