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Finding the Third Proportional to 52,338.75 and 74,756.63

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Solution

The third proportional to 52,338.75 and 74,756.63 is: 106,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.75 : 74,756.63 = 74,756.63 : x
  2. Step 2: Convert to fraction form
    52,338.75/74,756.63 = 74,756.63/x
  3. Step 3: Cross multiply
    52,338.75x = 74,756.63 × 74,756.63
  4. Step 4: Simplify right side
    52,338.75x = 5,588,552,981.39
  5. Step 5: Solve for x
    x = 5,588,552,981.39/52,338.75
  6. Step 6: Final answer
    x = 106,776.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.