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Finding the Third Proportional to 61,047 and 119,043

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Solution

The third proportional to 61,047 and 119,043 is: 232,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047 : 119,043 = 119,043 : x
  2. Step 2: Convert to fraction form
    61,047/119,043 = 119,043/x
  3. Step 3: Cross multiply
    61,047x = 119,043 × 119,043
  4. Step 4: Simplify right side
    61,047x = 14,171,235,849
  5. Step 5: Solve for x
    x = 14,171,235,849/61,047
  6. Step 6: Final answer
    x = 232,136.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.