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Finding the Third Proportional to 103,429 and 165,943

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Solution

The third proportional to 103,429 and 165,943 is: 266,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429 : 165,943 = 165,943 : x
  2. Step 2: Convert to fraction form
    103,429/165,943 = 165,943/x
  3. Step 3: Cross multiply
    103,429x = 165,943 × 165,943
  4. Step 4: Simplify right side
    103,429x = 27,537,079,249
  5. Step 5: Solve for x
    x = 27,537,079,249/103,429
  6. Step 6: Final answer
    x = 266,241.38

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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.