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Finding the Third Proportional to 62,618 and 96,974

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Solution

The third proportional to 62,618 and 96,974 is: 150,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,618 : 96,974 = 96,974 : x
  2. Step 2: Convert to fraction form
    62,618/96,974 = 96,974/x
  3. Step 3: Cross multiply
    62,618x = 96,974 × 96,974
  4. Step 4: Simplify right side
    62,618x = 9,403,956,676
  5. Step 5: Solve for x
    x = 9,403,956,676/62,618
  6. Step 6: Final answer
    x = 150,179.77

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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.