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Finding the Third Proportional to 39,110 and 85,726

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Solution

The third proportional to 39,110 and 85,726 is: 187,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,110 : 85,726 = 85,726 : x
  2. Step 2: Convert to fraction form
    39,110/85,726 = 85,726/x
  3. Step 3: Cross multiply
    39,110x = 85,726 × 85,726
  4. Step 4: Simplify right side
    39,110x = 7,348,947,076
  5. Step 5: Solve for x
    x = 7,348,947,076/39,110
  6. Step 6: Final answer
    x = 187,904.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.