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Finding the Third Proportional to 65,938 and 136,484

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Solution

The third proportional to 65,938 and 136,484 is: 282,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,938 : 136,484 = 136,484 : x
  2. Step 2: Convert to fraction form
    65,938/136,484 = 136,484/x
  3. Step 3: Cross multiply
    65,938x = 136,484 × 136,484
  4. Step 4: Simplify right side
    65,938x = 18,627,882,256
  5. Step 5: Solve for x
    x = 18,627,882,256/65,938
  6. Step 6: Final answer
    x = 282,506.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.