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Finding the Third Proportional to 95,985 and 153,345

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Solution

The third proportional to 95,985 and 153,345 is: 244,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,985 : 153,345 = 153,345 : x
  2. Step 2: Convert to fraction form
    95,985/153,345 = 153,345/x
  3. Step 3: Cross multiply
    95,985x = 153,345 × 153,345
  4. Step 4: Simplify right side
    95,985x = 23,514,689,025
  5. Step 5: Solve for x
    x = 23,514,689,025/95,985
  6. Step 6: Final answer
    x = 244,982.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.