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Finding the Third Proportional to 88,014 and 207,565

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Solution

The third proportional to 88,014 and 207,565 is: 489,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,014 : 207,565 = 207,565 : x
  2. Step 2: Convert to fraction form
    88,014/207,565 = 207,565/x
  3. Step 3: Cross multiply
    88,014x = 207,565 × 207,565
  4. Step 4: Simplify right side
    88,014x = 43,083,229,225
  5. Step 5: Solve for x
    x = 43,083,229,225/88,014
  6. Step 6: Final answer
    x = 489,504.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.