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Finding the Third Proportional to 88,468 and 136,998

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Solution

The third proportional to 88,468 and 136,998 is: 212,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,468 : 136,998 = 136,998 : x
  2. Step 2: Convert to fraction form
    88,468/136,998 = 136,998/x
  3. Step 3: Cross multiply
    88,468x = 136,998 × 136,998
  4. Step 4: Simplify right side
    88,468x = 18,768,452,004
  5. Step 5: Solve for x
    x = 18,768,452,004/88,468
  6. Step 6: Final answer
    x = 212,149.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.