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Finding the Third Proportional to 61,022 and 94,477

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Solution

The third proportional to 61,022 and 94,477 is: 146,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022 : 94,477 = 94,477 : x
  2. Step 2: Convert to fraction form
    61,022/94,477 = 94,477/x
  3. Step 3: Cross multiply
    61,022x = 94,477 × 94,477
  4. Step 4: Simplify right side
    61,022x = 8,925,903,529
  5. Step 5: Solve for x
    x = 8,925,903,529/61,022
  6. Step 6: Final answer
    x = 146,273.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.