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Finding the Third Proportional to 53,451.50 and 115,378

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Solution

The third proportional to 53,451.50 and 115,378 is: 249,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451.50 : 115,378 = 115,378 : x
  2. Step 2: Convert to fraction form
    53,451.50/115,378 = 115,378/x
  3. Step 3: Cross multiply
    53,451.50x = 115,378 × 115,378
  4. Step 4: Simplify right side
    53,451.50x = 13,312,082,884
  5. Step 5: Solve for x
    x = 13,312,082,884/53,451.50
  6. Step 6: Final answer
    x = 249,049.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.