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Finding the Third Proportional to 66,618 and 142,733

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Solution

The third proportional to 66,618 and 142,733 is: 305,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,618 : 142,733 = 142,733 : x
  2. Step 2: Convert to fraction form
    66,618/142,733 = 142,733/x
  3. Step 3: Cross multiply
    66,618x = 142,733 × 142,733
  4. Step 4: Simplify right side
    66,618x = 20,372,709,289
  5. Step 5: Solve for x
    x = 20,372,709,289/66,618
  6. Step 6: Final answer
    x = 305,813.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.