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Finding the Third Proportional to 65,913.75 and 102,147.75

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Solution

The third proportional to 65,913.75 and 102,147.75 is: 158,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,913.75 : 102,147.75 = 102,147.75 : x
  2. Step 2: Convert to fraction form
    65,913.75/102,147.75 = 102,147.75/x
  3. Step 3: Cross multiply
    65,913.75x = 102,147.75 × 102,147.75
  4. Step 4: Simplify right side
    65,913.75x = 10,434,162,830.06
  5. Step 5: Solve for x
    x = 10,434,162,830.06/65,913.75
  6. Step 6: Final answer
    x = 158,300.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.