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Finding the Third Proportional to 53,422.03 and 114,703.59

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Solution

The third proportional to 53,422.03 and 114,703.59 is: 246,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.03 : 114,703.59 = 114,703.59 : x
  2. Step 2: Convert to fraction form
    53,422.03/114,703.59 = 114,703.59/x
  3. Step 3: Cross multiply
    53,422.03x = 114,703.59 × 114,703.59
  4. Step 4: Simplify right side
    53,422.03x = 13,156,914,419.17
  5. Step 5: Solve for x
    x = 13,156,914,419.17/53,422.03
  6. Step 6: Final answer
    x = 246,282.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.