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Finding the Third Proportional to 67,383 and 105,389

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Solution

The third proportional to 67,383 and 105,389 is: 164,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,383 : 105,389 = 105,389 : x
  2. Step 2: Convert to fraction form
    67,383/105,389 = 105,389/x
  3. Step 3: Cross multiply
    67,383x = 105,389 × 105,389
  4. Step 4: Simplify right side
    67,383x = 11,106,841,321
  5. Step 5: Solve for x
    x = 11,106,841,321/67,383
  6. Step 6: Final answer
    x = 164,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.