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Finding the Third Proportional to 52,696.88 and 77,073.56

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Solution

The third proportional to 52,696.88 and 77,073.56 is: 112,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,696.88 : 77,073.56 = 77,073.56 : x
  2. Step 2: Convert to fraction form
    52,696.88/77,073.56 = 77,073.56/x
  3. Step 3: Cross multiply
    52,696.88x = 77,073.56 × 77,073.56
  4. Step 4: Simplify right side
    52,696.88x = 5,940,334,036.44
  5. Step 5: Solve for x
    x = 5,940,334,036.44/52,696.88
  6. Step 6: Final answer
    x = 112,726.50

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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.