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Finding the Third Proportional to 52,217 and 78,097

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Solution

The third proportional to 52,217 and 78,097 is: 116,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,217 : 78,097 = 78,097 : x
  2. Step 2: Convert to fraction form
    52,217/78,097 = 78,097/x
  3. Step 3: Cross multiply
    52,217x = 78,097 × 78,097
  4. Step 4: Simplify right side
    52,217x = 6,099,141,409
  5. Step 5: Solve for x
    x = 6,099,141,409/52,217
  6. Step 6: Final answer
    x = 116,803.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.