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Finding the Third Proportional to 59,602.50 and 83,544.75

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Solution

The third proportional to 59,602.50 and 83,544.75 is: 117,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,602.50 : 83,544.75 = 83,544.75 : x
  2. Step 2: Convert to fraction form
    59,602.50/83,544.75 = 83,544.75/x
  3. Step 3: Cross multiply
    59,602.50x = 83,544.75 × 83,544.75
  4. Step 4: Simplify right side
    59,602.50x = 6,979,725,252.56
  5. Step 5: Solve for x
    x = 6,979,725,252.56/59,602.50
  6. Step 6: Final answer
    x = 117,104.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.