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Finding the Third Proportional to 65,051.86 and 94,809.23

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Solution

The third proportional to 65,051.86 and 94,809.23 is: 138,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.86 : 94,809.23 = 94,809.23 : x
  2. Step 2: Convert to fraction form
    65,051.86/94,809.23 = 94,809.23/x
  3. Step 3: Cross multiply
    65,051.86x = 94,809.23 × 94,809.23
  4. Step 4: Simplify right side
    65,051.86x = 8,988,790,922.77
  5. Step 5: Solve for x
    x = 8,988,790,922.77/65,051.86
  6. Step 6: Final answer
    x = 138,178.85

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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.