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Finding the Third Proportional to 60,922 and 90,878

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Solution

The third proportional to 60,922 and 90,878 is: 135,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,922 : 90,878 = 90,878 : x
  2. Step 2: Convert to fraction form
    60,922/90,878 = 90,878/x
  3. Step 3: Cross multiply
    60,922x = 90,878 × 90,878
  4. Step 4: Simplify right side
    60,922x = 8,258,810,884
  5. Step 5: Solve for x
    x = 8,258,810,884/60,922
  6. Step 6: Final answer
    x = 135,563.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.