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Finding the Third Proportional to 48,701.88 and 105,707.75

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Solution

The third proportional to 48,701.88 and 105,707.75 is: 229,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701.88 : 105,707.75 = 105,707.75 : x
  2. Step 2: Convert to fraction form
    48,701.88/105,707.75 = 105,707.75/x
  3. Step 3: Cross multiply
    48,701.88x = 105,707.75 × 105,707.75
  4. Step 4: Simplify right side
    48,701.88x = 11,174,128,410.06
  5. Step 5: Solve for x
    x = 11,174,128,410.06/48,701.88
  6. Step 6: Final answer
    x = 229,439.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.