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Finding the Third Proportional to 52,947 and 79,123.50

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Solution

The third proportional to 52,947 and 79,123.50 is: 118,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947 : 79,123.50 = 79,123.50 : x
  2. Step 2: Convert to fraction form
    52,947/79,123.50 = 79,123.50/x
  3. Step 3: Cross multiply
    52,947x = 79,123.50 × 79,123.50
  4. Step 4: Simplify right side
    52,947x = 6,260,528,252.25
  5. Step 5: Solve for x
    x = 6,260,528,252.25/52,947
  6. Step 6: Final answer
    x = 118,241.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.