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Finding the Third Proportional to 53,499.25 and 112,967

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Solution

The third proportional to 53,499.25 and 112,967 is: 238,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,499.25 : 112,967 = 112,967 : x
  2. Step 2: Convert to fraction form
    53,499.25/112,967 = 112,967/x
  3. Step 3: Cross multiply
    53,499.25x = 112,967 × 112,967
  4. Step 4: Simplify right side
    53,499.25x = 12,761,543,089
  5. Step 5: Solve for x
    x = 12,761,543,089/53,499.25
  6. Step 6: Final answer
    x = 238,536.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.