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Finding the Third Proportional to 88,674 and 136,299

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Solution

The third proportional to 88,674 and 136,299 is: 209,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,674 : 136,299 = 136,299 : x
  2. Step 2: Convert to fraction form
    88,674/136,299 = 136,299/x
  3. Step 3: Cross multiply
    88,674x = 136,299 × 136,299
  4. Step 4: Simplify right side
    88,674x = 18,577,417,401
  5. Step 5: Solve for x
    x = 18,577,417,401/88,674
  6. Step 6: Final answer
    x = 209,502.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.