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Finding the Third Proportional to 68,047 and 88,948

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Solution

The third proportional to 68,047 and 88,948 is: 116,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047 : 88,948 = 88,948 : x
  2. Step 2: Convert to fraction form
    68,047/88,948 = 88,948/x
  3. Step 3: Cross multiply
    68,047x = 88,948 × 88,948
  4. Step 4: Simplify right side
    68,047x = 7,911,746,704
  5. Step 5: Solve for x
    x = 7,911,746,704/68,047
  6. Step 6: Final answer
    x = 116,268.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.