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Finding the Third Proportional to 79,618 and 124,270

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Solution

The third proportional to 79,618 and 124,270 is: 193,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,618 : 124,270 = 124,270 : x
  2. Step 2: Convert to fraction form
    79,618/124,270 = 124,270/x
  3. Step 3: Cross multiply
    79,618x = 124,270 × 124,270
  4. Step 4: Simplify right side
    79,618x = 15,443,032,900
  5. Step 5: Solve for x
    x = 15,443,032,900/79,618
  6. Step 6: Final answer
    x = 193,964.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.