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Finding the Third Proportional to 98,260 and 149,262

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Solution

The third proportional to 98,260 and 149,262 is: 226,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,260 : 149,262 = 149,262 : x
  2. Step 2: Convert to fraction form
    98,260/149,262 = 149,262/x
  3. Step 3: Cross multiply
    98,260x = 149,262 × 149,262
  4. Step 4: Simplify right side
    98,260x = 22,279,144,644
  5. Step 5: Solve for x
    x = 22,279,144,644/98,260
  6. Step 6: Final answer
    x = 226,736.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.