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Finding the Third Proportional to 51,125.06 and 84,909.94

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Solution

The third proportional to 51,125.06 and 84,909.94 is: 141,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,125.06 : 84,909.94 = 84,909.94 : x
  2. Step 2: Convert to fraction form
    51,125.06/84,909.94 = 84,909.94/x
  3. Step 3: Cross multiply
    51,125.06x = 84,909.94 × 84,909.94
  4. Step 4: Simplify right side
    51,125.06x = 7,209,697,486.25
  5. Step 5: Solve for x
    x = 7,209,697,486.25/51,125.06
  6. Step 6: Final answer
    x = 141,020.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.