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Finding the Third Proportional to 103,410 and 165,913

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Solution

The third proportional to 103,410 and 165,913 is: 266,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410 : 165,913 = 165,913 : x
  2. Step 2: Convert to fraction form
    103,410/165,913 = 165,913/x
  3. Step 3: Cross multiply
    103,410x = 165,913 × 165,913
  4. Step 4: Simplify right side
    103,410x = 27,527,123,569
  5. Step 5: Solve for x
    x = 27,527,123,569/103,410
  6. Step 6: Final answer
    x = 266,194.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.