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Finding the Third Proportional to 52,412.50 and 83,033.50

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Solution

The third proportional to 52,412.50 and 83,033.50 is: 131,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.50 : 83,033.50 = 83,033.50 : x
  2. Step 2: Convert to fraction form
    52,412.50/83,033.50 = 83,033.50/x
  3. Step 3: Cross multiply
    52,412.50x = 83,033.50 × 83,033.50
  4. Step 4: Simplify right side
    52,412.50x = 6,894,562,122.25
  5. Step 5: Solve for x
    x = 6,894,562,122.25/52,412.50
  6. Step 6: Final answer
    x = 131,544.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.