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Finding the Third Proportional to 52,705.88 and 115,779.75

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Solution

The third proportional to 52,705.88 and 115,779.75 is: 254,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,705.88 : 115,779.75 = 115,779.75 : x
  2. Step 2: Convert to fraction form
    52,705.88/115,779.75 = 115,779.75/x
  3. Step 3: Cross multiply
    52,705.88x = 115,779.75 × 115,779.75
  4. Step 4: Simplify right side
    52,705.88x = 13,404,950,510.06
  5. Step 5: Solve for x
    x = 13,404,950,510.06/52,705.88
  6. Step 6: Final answer
    x = 254,335.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.