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Finding the Third Proportional to 96,768 and 149,508

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Solution

The third proportional to 96,768 and 149,508 is: 230,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 149,508 = 149,508 : x
  2. Step 2: Convert to fraction form
    96,768/149,508 = 149,508/x
  3. Step 3: Cross multiply
    96,768x = 149,508 × 149,508
  4. Step 4: Simplify right side
    96,768x = 22,352,642,064
  5. Step 5: Solve for x
    x = 22,352,642,064/96,768
  6. Step 6: Final answer
    x = 230,992.08

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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.