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Finding the Third Proportional to 61,238 and 130,156

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Solution

The third proportional to 61,238 and 130,156 is: 276,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,238 : 130,156 = 130,156 : x
  2. Step 2: Convert to fraction form
    61,238/130,156 = 130,156/x
  3. Step 3: Cross multiply
    61,238x = 130,156 × 130,156
  4. Step 4: Simplify right side
    61,238x = 16,940,584,336
  5. Step 5: Solve for x
    x = 16,940,584,336/61,238
  6. Step 6: Final answer
    x = 276,635.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.