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Finding the Third Proportional to 142,182 and 221,139

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Solution

The third proportional to 142,182 and 221,139 is: 343,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,182 : 221,139 = 221,139 : x
  2. Step 2: Convert to fraction form
    142,182/221,139 = 221,139/x
  3. Step 3: Cross multiply
    142,182x = 221,139 × 221,139
  4. Step 4: Simplify right side
    142,182x = 48,902,457,321
  5. Step 5: Solve for x
    x = 48,902,457,321/142,182
  6. Step 6: Final answer
    x = 343,942.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.