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Finding the Third Proportional to 53,621.25 and 105,895.50

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Solution

The third proportional to 53,621.25 and 105,895.50 is: 209,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,621.25 : 105,895.50 = 105,895.50 : x
  2. Step 2: Convert to fraction form
    53,621.25/105,895.50 = 105,895.50/x
  3. Step 3: Cross multiply
    53,621.25x = 105,895.50 × 105,895.50
  4. Step 4: Simplify right side
    53,621.25x = 11,213,856,920.25
  5. Step 5: Solve for x
    x = 11,213,856,920.25/53,621.25
  6. Step 6: Final answer
    x = 209,130.84

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.