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Finding the Third Proportional to 96,312 and 149,714

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Solution

The third proportional to 96,312 and 149,714 is: 232,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312 : 149,714 = 149,714 : x
  2. Step 2: Convert to fraction form
    96,312/149,714 = 149,714/x
  3. Step 3: Cross multiply
    96,312x = 149,714 × 149,714
  4. Step 4: Simplify right side
    96,312x = 22,414,281,796
  5. Step 5: Solve for x
    x = 22,414,281,796/96,312
  6. Step 6: Final answer
    x = 232,725.74

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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.