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Finding the Third Proportional to 57,830.03 and 86,263.69

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Solution

The third proportional to 57,830.03 and 86,263.69 is: 128,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.03 : 86,263.69 = 86,263.69 : x
  2. Step 2: Convert to fraction form
    57,830.03/86,263.69 = 86,263.69/x
  3. Step 3: Cross multiply
    57,830.03x = 86,263.69 × 86,263.69
  4. Step 4: Simplify right side
    57,830.03x = 7,441,425,044.73
  5. Step 5: Solve for x
    x = 7,441,425,044.73/57,830.03
  6. Step 6: Final answer
    x = 128,677.53

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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.