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Finding the Third Proportional to 53,454 and 77,805

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Solution

The third proportional to 53,454 and 77,805 is: 113,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454 : 77,805 = 77,805 : x
  2. Step 2: Convert to fraction form
    53,454/77,805 = 77,805/x
  3. Step 3: Cross multiply
    53,454x = 77,805 × 77,805
  4. Step 4: Simplify right side
    53,454x = 6,053,618,025
  5. Step 5: Solve for x
    x = 6,053,618,025/53,454
  6. Step 6: Final answer
    x = 113,249.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.