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Finding the Third Proportional to 96,776 and 145,206

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Solution

The third proportional to 96,776 and 145,206 is: 217,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,776 : 145,206 = 145,206 : x
  2. Step 2: Convert to fraction form
    96,776/145,206 = 145,206/x
  3. Step 3: Cross multiply
    96,776x = 145,206 × 145,206
  4. Step 4: Simplify right side
    96,776x = 21,084,782,436
  5. Step 5: Solve for x
    x = 21,084,782,436/96,776
  6. Step 6: Final answer
    x = 217,872.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.