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Finding the Third Proportional to 96,095.25 and 152,739

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Solution

The third proportional to 96,095.25 and 152,739 is: 242,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,095.25 : 152,739 = 152,739 : x
  2. Step 2: Convert to fraction form
    96,095.25/152,739 = 152,739/x
  3. Step 3: Cross multiply
    96,095.25x = 152,739 × 152,739
  4. Step 4: Simplify right side
    96,095.25x = 23,329,202,121
  5. Step 5: Solve for x
    x = 23,329,202,121/96,095.25
  6. Step 6: Final answer
    x = 242,771.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.