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Finding the Third Proportional to 60,433 and 129,613

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Solution

The third proportional to 60,433 and 129,613 is: 277,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,433 : 129,613 = 129,613 : x
  2. Step 2: Convert to fraction form
    60,433/129,613 = 129,613/x
  3. Step 3: Cross multiply
    60,433x = 129,613 × 129,613
  4. Step 4: Simplify right side
    60,433x = 16,799,529,769
  5. Step 5: Solve for x
    x = 16,799,529,769/60,433
  6. Step 6: Final answer
    x = 277,986.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.