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Finding the Third Proportional to 59,735.75 and 93,233

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Solution

The third proportional to 59,735.75 and 93,233 is: 145,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,735.75 : 93,233 = 93,233 : x
  2. Step 2: Convert to fraction form
    59,735.75/93,233 = 93,233/x
  3. Step 3: Cross multiply
    59,735.75x = 93,233 × 93,233
  4. Step 4: Simplify right side
    59,735.75x = 8,692,392,289
  5. Step 5: Solve for x
    x = 8,692,392,289/59,735.75
  6. Step 6: Final answer
    x = 145,514.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.