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Finding the Third Proportional to 62,284 and 91,122

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Solution

The third proportional to 62,284 and 91,122 is: 133,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,284 : 91,122 = 91,122 : x
  2. Step 2: Convert to fraction form
    62,284/91,122 = 91,122/x
  3. Step 3: Cross multiply
    62,284x = 91,122 × 91,122
  4. Step 4: Simplify right side
    62,284x = 8,303,218,884
  5. Step 5: Solve for x
    x = 8,303,218,884/62,284
  6. Step 6: Final answer
    x = 133,312.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.