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Finding the Third Proportional to 52,575.75 and 83,696.63

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Solution

The third proportional to 52,575.75 and 83,696.63 is: 133,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575.75 : 83,696.63 = 83,696.63 : x
  2. Step 2: Convert to fraction form
    52,575.75/83,696.63 = 83,696.63/x
  3. Step 3: Cross multiply
    52,575.75x = 83,696.63 × 83,696.63
  4. Step 4: Simplify right side
    52,575.75x = 7,005,125,036.39
  5. Step 5: Solve for x
    x = 7,005,125,036.39/52,575.75
  6. Step 6: Final answer
    x = 133,238.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.