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Finding the Third Proportional to 59,371.50 and 91,813.50

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Solution

The third proportional to 59,371.50 and 91,813.50 is: 141,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,371.50 : 91,813.50 = 91,813.50 : x
  2. Step 2: Convert to fraction form
    59,371.50/91,813.50 = 91,813.50/x
  3. Step 3: Cross multiply
    59,371.50x = 91,813.50 × 91,813.50
  4. Step 4: Simplify right side
    59,371.50x = 8,429,718,782.25
  5. Step 5: Solve for x
    x = 8,429,718,782.25/59,371.50
  6. Step 6: Final answer
    x = 141,982.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.