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Finding the Third Proportional to 52,009.59 and 78,253.59

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Solution

The third proportional to 52,009.59 and 78,253.59 is: 117,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.59 : 78,253.59 = 78,253.59 : x
  2. Step 2: Convert to fraction form
    52,009.59/78,253.59 = 78,253.59/x
  3. Step 3: Cross multiply
    52,009.59x = 78,253.59 × 78,253.59
  4. Step 4: Simplify right side
    52,009.59x = 6,123,624,934.79
  5. Step 5: Solve for x
    x = 6,123,624,934.79/52,009.59
  6. Step 6: Final answer
    x = 117,740.30

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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.