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Finding the Third Proportional to 65,470 and 100,690

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Solution

The third proportional to 65,470 and 100,690 is: 154,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,470 : 100,690 = 100,690 : x
  2. Step 2: Convert to fraction form
    65,470/100,690 = 100,690/x
  3. Step 3: Cross multiply
    65,470x = 100,690 × 100,690
  4. Step 4: Simplify right side
    65,470x = 10,138,476,100
  5. Step 5: Solve for x
    x = 10,138,476,100/65,470
  6. Step 6: Final answer
    x = 154,856.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.