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Finding the Third Proportional to 62,618 and 85,287

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Solution

The third proportional to 62,618 and 85,287 is: 116,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,618 : 85,287 = 85,287 : x
  2. Step 2: Convert to fraction form
    62,618/85,287 = 85,287/x
  3. Step 3: Cross multiply
    62,618x = 85,287 × 85,287
  4. Step 4: Simplify right side
    62,618x = 7,273,872,369
  5. Step 5: Solve for x
    x = 7,273,872,369/62,618
  6. Step 6: Final answer
    x = 116,162.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.