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Finding the Third Proportional to 39,607 and 88,069

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Solution

The third proportional to 39,607 and 88,069 is: 195,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,607 : 88,069 = 88,069 : x
  2. Step 2: Convert to fraction form
    39,607/88,069 = 88,069/x
  3. Step 3: Cross multiply
    39,607x = 88,069 × 88,069
  4. Step 4: Simplify right side
    39,607x = 7,756,148,761
  5. Step 5: Solve for x
    x = 7,756,148,761/39,607
  6. Step 6: Final answer
    x = 195,827.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.