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Finding the Third Proportional to 66,231 and 99,618

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Solution

The third proportional to 66,231 and 99,618 is: 149,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,231 : 99,618 = 99,618 : x
  2. Step 2: Convert to fraction form
    66,231/99,618 = 99,618/x
  3. Step 3: Cross multiply
    66,231x = 99,618 × 99,618
  4. Step 4: Simplify right side
    66,231x = 9,923,745,924
  5. Step 5: Solve for x
    x = 9,923,745,924/66,231
  6. Step 6: Final answer
    x = 149,835.36

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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.