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Finding the Third Proportional to 77,618 and 117,885

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Solution

The third proportional to 77,618 and 117,885 is: 179,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618 : 117,885 = 117,885 : x
  2. Step 2: Convert to fraction form
    77,618/117,885 = 117,885/x
  3. Step 3: Cross multiply
    77,618x = 117,885 × 117,885
  4. Step 4: Simplify right side
    77,618x = 13,896,873,225
  5. Step 5: Solve for x
    x = 13,896,873,225/77,618
  6. Step 6: Final answer
    x = 179,041.89

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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.