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Finding the Third Proportional to 61,704 and 133,006

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Solution

The third proportional to 61,704 and 133,006 is: 286,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704 : 133,006 = 133,006 : x
  2. Step 2: Convert to fraction form
    61,704/133,006 = 133,006/x
  3. Step 3: Cross multiply
    61,704x = 133,006 × 133,006
  4. Step 4: Simplify right side
    61,704x = 17,690,596,036
  5. Step 5: Solve for x
    x = 17,690,596,036/61,704
  6. Step 6: Final answer
    x = 286,700.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.