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Finding the Third Proportional to 60,430 and 129,604

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Solution

The third proportional to 60,430 and 129,604 is: 277,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,430 : 129,604 = 129,604 : x
  2. Step 2: Convert to fraction form
    60,430/129,604 = 129,604/x
  3. Step 3: Cross multiply
    60,430x = 129,604 × 129,604
  4. Step 4: Simplify right side
    60,430x = 16,797,196,816
  5. Step 5: Solve for x
    x = 16,797,196,816/60,430
  6. Step 6: Final answer
    x = 277,961.22

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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.