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Finding the Third Proportional to 61,190 and 94,121

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Solution

The third proportional to 61,190 and 94,121 is: 144,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,190 : 94,121 = 94,121 : x
  2. Step 2: Convert to fraction form
    61,190/94,121 = 94,121/x
  3. Step 3: Cross multiply
    61,190x = 94,121 × 94,121
  4. Step 4: Simplify right side
    61,190x = 8,858,762,641
  5. Step 5: Solve for x
    x = 8,858,762,641/61,190
  6. Step 6: Final answer
    x = 144,774.68

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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.