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Finding the Third Proportional to 57,830.50 and 86,265.75

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Solution

The third proportional to 57,830.50 and 86,265.75 is: 128,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.50 : 86,265.75 = 86,265.75 : x
  2. Step 2: Convert to fraction form
    57,830.50/86,265.75 = 86,265.75/x
  3. Step 3: Cross multiply
    57,830.50x = 86,265.75 × 86,265.75
  4. Step 4: Simplify right side
    57,830.50x = 7,441,779,623.06
  5. Step 5: Solve for x
    x = 7,441,779,623.06/57,830.50
  6. Step 6: Final answer
    x = 128,682.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.