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Finding the Third Proportional to 60,587 and 133,205

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Solution

The third proportional to 60,587 and 133,205 is: 292,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,587 : 133,205 = 133,205 : x
  2. Step 2: Convert to fraction form
    60,587/133,205 = 133,205/x
  3. Step 3: Cross multiply
    60,587x = 133,205 × 133,205
  4. Step 4: Simplify right side
    60,587x = 17,743,572,025
  5. Step 5: Solve for x
    x = 17,743,572,025/60,587
  6. Step 6: Final answer
    x = 292,861.04

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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.