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Finding the Third Proportional to 52,764.58 and 115,381.87

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Solution

The third proportional to 52,764.58 and 115,381.87 is: 252,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,764.58 : 115,381.87 = 115,381.87 : x
  2. Step 2: Convert to fraction form
    52,764.58/115,381.87 = 115,381.87/x
  3. Step 3: Cross multiply
    52,764.58x = 115,381.87 × 115,381.87
  4. Step 4: Simplify right side
    52,764.58x = 13,312,975,895.40
  5. Step 5: Solve for x
    x = 13,312,975,895.40/52,764.58
  6. Step 6: Final answer
    x = 252,308.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.