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Finding the Third Proportional to 48,048.75 and 75,157.31

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Solution

The third proportional to 48,048.75 and 75,157.31 is: 117,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048.75 : 75,157.31 = 75,157.31 : x
  2. Step 2: Convert to fraction form
    48,048.75/75,157.31 = 75,157.31/x
  3. Step 3: Cross multiply
    48,048.75x = 75,157.31 × 75,157.31
  4. Step 4: Simplify right side
    48,048.75x = 5,648,621,622.22
  5. Step 5: Solve for x
    x = 5,648,621,622.22/48,048.75
  6. Step 6: Final answer
    x = 117,560.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.