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Finding the Third Proportional to 88,036 and 136,376

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Solution

The third proportional to 88,036 and 136,376 is: 211,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,036 : 136,376 = 136,376 : x
  2. Step 2: Convert to fraction form
    88,036/136,376 = 136,376/x
  3. Step 3: Cross multiply
    88,036x = 136,376 × 136,376
  4. Step 4: Simplify right side
    88,036x = 18,598,413,376
  5. Step 5: Solve for x
    x = 18,598,413,376/88,036
  6. Step 6: Final answer
    x = 211,259.18

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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.