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Finding the Third Proportional to 111,618 and 142,803

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Solution

The third proportional to 111,618 and 142,803 is: 182,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,618 : 142,803 = 142,803 : x
  2. Step 2: Convert to fraction form
    111,618/142,803 = 142,803/x
  3. Step 3: Cross multiply
    111,618x = 142,803 × 142,803
  4. Step 4: Simplify right side
    111,618x = 20,392,696,809
  5. Step 5: Solve for x
    x = 20,392,696,809/111,618
  6. Step 6: Final answer
    x = 182,700.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.