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Finding the Third Proportional to 53,604.52 and 114,142.13

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Solution

The third proportional to 53,604.52 and 114,142.13 is: 243,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604.52 : 114,142.13 = 114,142.13 : x
  2. Step 2: Convert to fraction form
    53,604.52/114,142.13 = 114,142.13/x
  3. Step 3: Cross multiply
    53,604.52x = 114,142.13 × 114,142.13
  4. Step 4: Simplify right side
    53,604.52x = 13,028,424,699.52
  5. Step 5: Solve for x
    x = 13,028,424,699.52/53,604.52
  6. Step 6: Final answer
    x = 243,047.15

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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.