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Finding the Third Proportional to 121,082 and 239,072

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Solution

The third proportional to 121,082 and 239,072 is: 472,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,082 : 239,072 = 239,072 : x
  2. Step 2: Convert to fraction form
    121,082/239,072 = 239,072/x
  3. Step 3: Cross multiply
    121,082x = 239,072 × 239,072
  4. Step 4: Simplify right side
    121,082x = 57,155,421,184
  5. Step 5: Solve for x
    x = 57,155,421,184/121,082
  6. Step 6: Final answer
    x = 472,038.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.