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Finding the Third Proportional to 52,482.75 and 113,253.75

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Solution

The third proportional to 52,482.75 and 113,253.75 is: 244,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482.75 : 113,253.75 = 113,253.75 : x
  2. Step 2: Convert to fraction form
    52,482.75/113,253.75 = 113,253.75/x
  3. Step 3: Cross multiply
    52,482.75x = 113,253.75 × 113,253.75
  4. Step 4: Simplify right side
    52,482.75x = 12,826,411,889.06
  5. Step 5: Solve for x
    x = 12,826,411,889.06/52,482.75
  6. Step 6: Final answer
    x = 244,392.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.