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Finding the Third Proportional to 64,648.13 and 94,511.81

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Solution

The third proportional to 64,648.13 and 94,511.81 is: 138,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.13 : 94,511.81 = 94,511.81 : x
  2. Step 2: Convert to fraction form
    64,648.13/94,511.81 = 94,511.81/x
  3. Step 3: Cross multiply
    64,648.13x = 94,511.81 × 94,511.81
  4. Step 4: Simplify right side
    64,648.13x = 8,932,482,702.04
  5. Step 5: Solve for x
    x = 8,932,482,702.04/64,648.13
  6. Step 6: Final answer
    x = 138,170.79

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