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Finding the Third Proportional to 65,774.25 and 94,042.41

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Solution

The third proportional to 65,774.25 and 94,042.41 is: 134,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.25 : 94,042.41 = 94,042.41 : x
  2. Step 2: Convert to fraction form
    65,774.25/94,042.41 = 94,042.41/x
  3. Step 3: Cross multiply
    65,774.25x = 94,042.41 × 94,042.41
  4. Step 4: Simplify right side
    65,774.25x = 8,843,974,173.29
  5. Step 5: Solve for x
    x = 8,843,974,173.29/65,774.25
  6. Step 6: Final answer
    x = 134,459.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.