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Finding the Third Proportional to 51,607.13 and 105,856.88

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Solution

The third proportional to 51,607.13 and 105,856.88 is: 217,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,607.13 : 105,856.88 = 105,856.88 : x
  2. Step 2: Convert to fraction form
    51,607.13/105,856.88 = 105,856.88/x
  3. Step 3: Cross multiply
    51,607.13x = 105,856.88 × 105,856.88
  4. Step 4: Simplify right side
    51,607.13x = 11,205,677,984.77
  5. Step 5: Solve for x
    x = 11,205,677,984.77/51,607.13
  6. Step 6: Final answer
    x = 217,134.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.