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Finding the Third Proportional to 69,351 and 102,730.50

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Solution

The third proportional to 69,351 and 102,730.50 is: 152,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,351 : 102,730.50 = 102,730.50 : x
  2. Step 2: Convert to fraction form
    69,351/102,730.50 = 102,730.50/x
  3. Step 3: Cross multiply
    69,351x = 102,730.50 × 102,730.50
  4. Step 4: Simplify right side
    69,351x = 10,553,555,630.25
  5. Step 5: Solve for x
    x = 10,553,555,630.25/69,351
  6. Step 6: Final answer
    x = 152,175.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.