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Finding the Third Proportional to 59,400.50 and 78,516.75

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Solution

The third proportional to 59,400.50 and 78,516.75 is: 103,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400.50 : 78,516.75 = 78,516.75 : x
  2. Step 2: Convert to fraction form
    59,400.50/78,516.75 = 78,516.75/x
  3. Step 3: Cross multiply
    59,400.50x = 78,516.75 × 78,516.75
  4. Step 4: Simplify right side
    59,400.50x = 6,164,880,030.56
  5. Step 5: Solve for x
    x = 6,164,880,030.56/59,400.50
  6. Step 6: Final answer
    x = 103,784.99

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.