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Finding the Third Proportional to 48,034 and 105,604

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Solution

The third proportional to 48,034 and 105,604 is: 232,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,034 : 105,604 = 105,604 : x
  2. Step 2: Convert to fraction form
    48,034/105,604 = 105,604/x
  3. Step 3: Cross multiply
    48,034x = 105,604 × 105,604
  4. Step 4: Simplify right side
    48,034x = 11,152,204,816
  5. Step 5: Solve for x
    x = 11,152,204,816/48,034
  6. Step 6: Final answer
    x = 232,173.14

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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.