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Finding the Third Proportional to 52,217 and 76,438

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Solution

The third proportional to 52,217 and 76,438 is: 111,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,217 : 76,438 = 76,438 : x
  2. Step 2: Convert to fraction form
    52,217/76,438 = 76,438/x
  3. Step 3: Cross multiply
    52,217x = 76,438 × 76,438
  4. Step 4: Simplify right side
    52,217x = 5,842,767,844
  5. Step 5: Solve for x
    x = 5,842,767,844/52,217
  6. Step 6: Final answer
    x = 111,893.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.