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Finding the Third Proportional to 61,858 and 134,948

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Solution

The third proportional to 61,858 and 134,948 is: 294,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,858 : 134,948 = 134,948 : x
  2. Step 2: Convert to fraction form
    61,858/134,948 = 134,948/x
  3. Step 3: Cross multiply
    61,858x = 134,948 × 134,948
  4. Step 4: Simplify right side
    61,858x = 18,210,962,704
  5. Step 5: Solve for x
    x = 18,210,962,704/61,858
  6. Step 6: Final answer
    x = 294,399.47

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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.