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Finding the Third Proportional to 53,164.50 and 115,617

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Solution

The third proportional to 53,164.50 and 115,617 is: 251,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.50 : 115,617 = 115,617 : x
  2. Step 2: Convert to fraction form
    53,164.50/115,617 = 115,617/x
  3. Step 3: Cross multiply
    53,164.50x = 115,617 × 115,617
  4. Step 4: Simplify right side
    53,164.50x = 13,367,290,689
  5. Step 5: Solve for x
    x = 13,367,290,689/53,164.50
  6. Step 6: Final answer
    x = 251,432.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.