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Finding the Third Proportional to 77,098.50 and 167,292

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Solution

The third proportional to 77,098.50 and 167,292 is: 362,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.50 : 167,292 = 167,292 : x
  2. Step 2: Convert to fraction form
    77,098.50/167,292 = 167,292/x
  3. Step 3: Cross multiply
    77,098.50x = 167,292 × 167,292
  4. Step 4: Simplify right side
    77,098.50x = 27,986,613,264
  5. Step 5: Solve for x
    x = 27,986,613,264/77,098.50
  6. Step 6: Final answer
    x = 362,998.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.