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Finding the Third Proportional to 61,233 and 93,667.63

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Solution

The third proportional to 61,233 and 93,667.63 is: 143,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,233 : 93,667.63 = 93,667.63 : x
  2. Step 2: Convert to fraction form
    61,233/93,667.63 = 93,667.63/x
  3. Step 3: Cross multiply
    61,233x = 93,667.63 × 93,667.63
  4. Step 4: Simplify right side
    61,233x = 8,773,623,973.14
  5. Step 5: Solve for x
    x = 8,773,623,973.14/61,233
  6. Step 6: Final answer
    x = 143,282.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.