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Finding the Third Proportional to 52,237.41 and 78,473.81

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Solution

The third proportional to 52,237.41 and 78,473.81 is: 117,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237.41 : 78,473.81 = 78,473.81 : x
  2. Step 2: Convert to fraction form
    52,237.41/78,473.81 = 78,473.81/x
  3. Step 3: Cross multiply
    52,237.41x = 78,473.81 × 78,473.81
  4. Step 4: Simplify right side
    52,237.41x = 6,158,139,248.29
  5. Step 5: Solve for x
    x = 6,158,139,248.29/52,237.41
  6. Step 6: Final answer
    x = 117,887.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.