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Finding the Third Proportional to 61,037 and 94,321

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Solution

The third proportional to 61,037 and 94,321 is: 145,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,037 : 94,321 = 94,321 : x
  2. Step 2: Convert to fraction form
    61,037/94,321 = 94,321/x
  3. Step 3: Cross multiply
    61,037x = 94,321 × 94,321
  4. Step 4: Simplify right side
    61,037x = 8,896,451,041
  5. Step 5: Solve for x
    x = 8,896,451,041/61,037
  6. Step 6: Final answer
    x = 145,755.05

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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.