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Finding the Third Proportional to 53,476.88 and 114,118.88

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Solution

The third proportional to 53,476.88 and 114,118.88 is: 243,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476.88 : 114,118.88 = 114,118.88 : x
  2. Step 2: Convert to fraction form
    53,476.88/114,118.88 = 114,118.88/x
  3. Step 3: Cross multiply
    53,476.88x = 114,118.88 × 114,118.88
  4. Step 4: Simplify right side
    53,476.88x = 13,023,117,631.27
  5. Step 5: Solve for x
    x = 13,023,117,631.27/53,476.88
  6. Step 6: Final answer
    x = 243,528.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.