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Finding the Third Proportional to 96,312.75 and 149,714.25

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Solution

The third proportional to 96,312.75 and 149,714.25 is: 232,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312.75 : 149,714.25 = 149,714.25 : x
  2. Step 2: Convert to fraction form
    96,312.75/149,714.25 = 149,714.25/x
  3. Step 3: Cross multiply
    96,312.75x = 149,714.25 × 149,714.25
  4. Step 4: Simplify right side
    96,312.75x = 22,414,356,653.06
  5. Step 5: Solve for x
    x = 22,414,356,653.06/96,312.75
  6. Step 6: Final answer
    x = 232,724.71

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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.