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Finding the Third Proportional to 45,310 and 69,986

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Solution

The third proportional to 45,310 and 69,986 is: 108,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,310 : 69,986 = 69,986 : x
  2. Step 2: Convert to fraction form
    45,310/69,986 = 69,986/x
  3. Step 3: Cross multiply
    45,310x = 69,986 × 69,986
  4. Step 4: Simplify right side
    45,310x = 4,898,040,196
  5. Step 5: Solve for x
    x = 4,898,040,196/45,310
  6. Step 6: Final answer
    x = 108,100.64

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