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Finding the Third Proportional to 66,618 and 99,726

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Solution

The third proportional to 66,618 and 99,726 is: 149,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,618 : 99,726 = 99,726 : x
  2. Step 2: Convert to fraction form
    66,618/99,726 = 99,726/x
  3. Step 3: Cross multiply
    66,618x = 99,726 × 99,726
  4. Step 4: Simplify right side
    66,618x = 9,945,275,076
  5. Step 5: Solve for x
    x = 9,945,275,076/66,618
  6. Step 6: Final answer
    x = 149,288.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.