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Finding the Third Proportional to 55,548 and 85,764

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Solution

The third proportional to 55,548 and 85,764 is: 132,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,548 : 85,764 = 85,764 : x
  2. Step 2: Convert to fraction form
    55,548/85,764 = 85,764/x
  3. Step 3: Cross multiply
    55,548x = 85,764 × 85,764
  4. Step 4: Simplify right side
    55,548x = 7,355,463,696
  5. Step 5: Solve for x
    x = 7,355,463,696/55,548
  6. Step 6: Final answer
    x = 132,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.