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Finding the Third Proportional to 88,146 and 134,283

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Solution

The third proportional to 88,146 and 134,283 is: 204,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,146 : 134,283 = 134,283 : x
  2. Step 2: Convert to fraction form
    88,146/134,283 = 134,283/x
  3. Step 3: Cross multiply
    88,146x = 134,283 × 134,283
  4. Step 4: Simplify right side
    88,146x = 18,031,924,089
  5. Step 5: Solve for x
    x = 18,031,924,089/88,146
  6. Step 6: Final answer
    x = 204,568.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.