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Finding the Third Proportional to 56,757 and 85,924.50

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Solution

The third proportional to 56,757 and 85,924.50 is: 130,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,757 : 85,924.50 = 85,924.50 : x
  2. Step 2: Convert to fraction form
    56,757/85,924.50 = 85,924.50/x
  3. Step 3: Cross multiply
    56,757x = 85,924.50 × 85,924.50
  4. Step 4: Simplify right side
    56,757x = 7,383,019,700.25
  5. Step 5: Solve for x
    x = 7,383,019,700.25/56,757
  6. Step 6: Final answer
    x = 130,081.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.