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Finding the Third Proportional to 137,102 and 204,522

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Solution

The third proportional to 137,102 and 204,522 is: 305,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102 : 204,522 = 204,522 : x
  2. Step 2: Convert to fraction form
    137,102/204,522 = 204,522/x
  3. Step 3: Cross multiply
    137,102x = 204,522 × 204,522
  4. Step 4: Simplify right side
    137,102x = 41,829,248,484
  5. Step 5: Solve for x
    x = 41,829,248,484/137,102
  6. Step 6: Final answer
    x = 305,095.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.