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Finding the Third Proportional to 96,264 and 149,646

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Solution

The third proportional to 96,264 and 149,646 is: 232,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,264 : 149,646 = 149,646 : x
  2. Step 2: Convert to fraction form
    96,264/149,646 = 149,646/x
  3. Step 3: Cross multiply
    96,264x = 149,646 × 149,646
  4. Step 4: Simplify right side
    96,264x = 22,393,925,316
  5. Step 5: Solve for x
    x = 22,393,925,316/96,264
  6. Step 6: Final answer
    x = 232,630.32

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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.