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Finding the Third Proportional to 65,653.50 and 102,591

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Solution

The third proportional to 65,653.50 and 102,591 is: 160,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.50 : 102,591 = 102,591 : x
  2. Step 2: Convert to fraction form
    65,653.50/102,591 = 102,591/x
  3. Step 3: Cross multiply
    65,653.50x = 102,591 × 102,591
  4. Step 4: Simplify right side
    65,653.50x = 10,524,913,281
  5. Step 5: Solve for x
    x = 10,524,913,281/65,653.50
  6. Step 6: Final answer
    x = 160,310.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.