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Finding the Third Proportional to 60,511 and 133,037

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Solution

The third proportional to 60,511 and 133,037 is: 292,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,511 : 133,037 = 133,037 : x
  2. Step 2: Convert to fraction form
    60,511/133,037 = 133,037/x
  3. Step 3: Cross multiply
    60,511x = 133,037 × 133,037
  4. Step 4: Simplify right side
    60,511x = 17,698,843,369
  5. Step 5: Solve for x
    x = 17,698,843,369/60,511
  6. Step 6: Final answer
    x = 292,489.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.