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Finding the Third Proportional to 60,705.50 and 123,820

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Solution

The third proportional to 60,705.50 and 123,820 is: 252,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,705.50 : 123,820 = 123,820 : x
  2. Step 2: Convert to fraction form
    60,705.50/123,820 = 123,820/x
  3. Step 3: Cross multiply
    60,705.50x = 123,820 × 123,820
  4. Step 4: Simplify right side
    60,705.50x = 15,331,392,400
  5. Step 5: Solve for x
    x = 15,331,392,400/60,705.50
  6. Step 6: Final answer
    x = 252,553.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.