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Finding the Third Proportional to 51,956.16 and 83,671.88

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Solution

The third proportional to 51,956.16 and 83,671.88 is: 134,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,956.16 : 83,671.88 = 83,671.88 : x
  2. Step 2: Convert to fraction form
    51,956.16/83,671.88 = 83,671.88/x
  3. Step 3: Cross multiply
    51,956.16x = 83,671.88 × 83,671.88
  4. Step 4: Simplify right side
    51,956.16x = 7,000,982,666.02
  5. Step 5: Solve for x
    x = 7,000,982,666.02/51,956.16
  6. Step 6: Final answer
    x = 134,747.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.