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Finding the Third Proportional to 48,054 and 71,888

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Solution

The third proportional to 48,054 and 71,888 is: 107,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,054 : 71,888 = 71,888 : x
  2. Step 2: Convert to fraction form
    48,054/71,888 = 71,888/x
  3. Step 3: Cross multiply
    48,054x = 71,888 × 71,888
  4. Step 4: Simplify right side
    48,054x = 5,167,884,544
  5. Step 5: Solve for x
    x = 5,167,884,544/48,054
  6. Step 6: Final answer
    x = 107,543.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.