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Finding the Third Proportional to 53,156 and 70,878

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Solution

The third proportional to 53,156 and 70,878 is: 94,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156 : 70,878 = 70,878 : x
  2. Step 2: Convert to fraction form
    53,156/70,878 = 70,878/x
  3. Step 3: Cross multiply
    53,156x = 70,878 × 70,878
  4. Step 4: Simplify right side
    53,156x = 5,023,690,884
  5. Step 5: Solve for x
    x = 5,023,690,884/53,156
  6. Step 6: Final answer
    x = 94,508.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.