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Finding the Third Proportional to 55,952.75 and 114,490

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Solution

The third proportional to 55,952.75 and 114,490 is: 234,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.75 : 114,490 = 114,490 : x
  2. Step 2: Convert to fraction form
    55,952.75/114,490 = 114,490/x
  3. Step 3: Cross multiply
    55,952.75x = 114,490 × 114,490
  4. Step 4: Simplify right side
    55,952.75x = 13,107,960,100
  5. Step 5: Solve for x
    x = 13,107,960,100/55,952.75
  6. Step 6: Final answer
    x = 234,268.38

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.