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Finding the Third Proportional to 69,546 and 148,938

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Solution

The third proportional to 69,546 and 148,938 is: 318,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,546 : 148,938 = 148,938 : x
  2. Step 2: Convert to fraction form
    69,546/148,938 = 148,938/x
  3. Step 3: Cross multiply
    69,546x = 148,938 × 148,938
  4. Step 4: Simplify right side
    69,546x = 22,182,527,844
  5. Step 5: Solve for x
    x = 22,182,527,844/69,546
  6. Step 6: Final answer
    x = 318,961.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.