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Finding the Third Proportional to 85,248 and 136,182

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Solution

The third proportional to 85,248 and 136,182 is: 217,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 136,182 = 136,182 : x
  2. Step 2: Convert to fraction form
    85,248/136,182 = 136,182/x
  3. Step 3: Cross multiply
    85,248x = 136,182 × 136,182
  4. Step 4: Simplify right side
    85,248x = 18,545,537,124
  5. Step 5: Solve for x
    x = 18,545,537,124/85,248
  6. Step 6: Final answer
    x = 217,548.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.