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Finding the Third Proportional to 61,848 and 134,736

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Solution

The third proportional to 61,848 and 134,736 is: 293,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,848 : 134,736 = 134,736 : x
  2. Step 2: Convert to fraction form
    61,848/134,736 = 134,736/x
  3. Step 3: Cross multiply
    61,848x = 134,736 × 134,736
  4. Step 4: Simplify right side
    61,848x = 18,153,789,696
  5. Step 5: Solve for x
    x = 18,153,789,696/61,848
  6. Step 6: Final answer
    x = 293,522.66

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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.