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Finding the Third Proportional to 51,010 and 97,517

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Solution

The third proportional to 51,010 and 97,517 is: 186,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010 : 97,517 = 97,517 : x
  2. Step 2: Convert to fraction form
    51,010/97,517 = 97,517/x
  3. Step 3: Cross multiply
    51,010x = 97,517 × 97,517
  4. Step 4: Simplify right side
    51,010x = 9,509,565,289
  5. Step 5: Solve for x
    x = 9,509,565,289/51,010
  6. Step 6: Final answer
    x = 186,425.51

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.