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Finding the Third Proportional to 61,165 and 94,043

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Solution

The third proportional to 61,165 and 94,043 is: 144,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,165 : 94,043 = 94,043 : x
  2. Step 2: Convert to fraction form
    61,165/94,043 = 94,043/x
  3. Step 3: Cross multiply
    61,165x = 94,043 × 94,043
  4. Step 4: Simplify right side
    61,165x = 8,844,085,849
  5. Step 5: Solve for x
    x = 8,844,085,849/61,165
  6. Step 6: Final answer
    x = 144,593.90

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Why These Related Problems?

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