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Finding the Third Proportional to 98,672 and 150,464

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Solution

The third proportional to 98,672 and 150,464 is: 229,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,672 : 150,464 = 150,464 : x
  2. Step 2: Convert to fraction form
    98,672/150,464 = 150,464/x
  3. Step 3: Cross multiply
    98,672x = 150,464 × 150,464
  4. Step 4: Simplify right side
    98,672x = 22,639,415,296
  5. Step 5: Solve for x
    x = 22,639,415,296/98,672
  6. Step 6: Final answer
    x = 229,441.13

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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.