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Finding the Third Proportional to 40,100 and 86,618

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Solution

The third proportional to 40,100 and 86,618 is: 187,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100 : 86,618 = 86,618 : x
  2. Step 2: Convert to fraction form
    40,100/86,618 = 86,618/x
  3. Step 3: Cross multiply
    40,100x = 86,618 × 86,618
  4. Step 4: Simplify right side
    40,100x = 7,502,677,924
  5. Step 5: Solve for x
    x = 7,502,677,924/40,100
  6. Step 6: Final answer
    x = 187,099.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.