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Finding the Third Proportional to 61,811 and 134,637

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Solution

The third proportional to 61,811 and 134,637 is: 293,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,811 : 134,637 = 134,637 : x
  2. Step 2: Convert to fraction form
    61,811/134,637 = 134,637/x
  3. Step 3: Cross multiply
    61,811x = 134,637 × 134,637
  4. Step 4: Simplify right side
    61,811x = 18,127,121,769
  5. Step 5: Solve for x
    x = 18,127,121,769/61,811
  6. Step 6: Final answer
    x = 293,266.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.