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Finding the Third Proportional to 55,004 and 85,314

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Solution

The third proportional to 55,004 and 85,314 is: 132,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004 : 85,314 = 85,314 : x
  2. Step 2: Convert to fraction form
    55,004/85,314 = 85,314/x
  3. Step 3: Cross multiply
    55,004x = 85,314 × 85,314
  4. Step 4: Simplify right side
    55,004x = 7,278,478,596
  5. Step 5: Solve for x
    x = 7,278,478,596/55,004
  6. Step 6: Final answer
    x = 132,326.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.