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Finding the Third Proportional to 125,618 and 273,785

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Solution

The third proportional to 125,618 and 273,785 is: 596,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,618 : 273,785 = 273,785 : x
  2. Step 2: Convert to fraction form
    125,618/273,785 = 273,785/x
  3. Step 3: Cross multiply
    125,618x = 273,785 × 273,785
  4. Step 4: Simplify right side
    125,618x = 74,958,226,225
  5. Step 5: Solve for x
    x = 74,958,226,225/125,618
  6. Step 6: Final answer
    x = 596,715.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.