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Finding the Third Proportional to 115,435.50 and 173,487

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Solution

The third proportional to 115,435.50 and 173,487 is: 260,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,435.50 : 173,487 = 173,487 : x
  2. Step 2: Convert to fraction form
    115,435.50/173,487 = 173,487/x
  3. Step 3: Cross multiply
    115,435.50x = 173,487 × 173,487
  4. Step 4: Simplify right side
    115,435.50x = 30,097,739,169
  5. Step 5: Solve for x
    x = 30,097,739,169/115,435.50
  6. Step 6: Final answer
    x = 260,732.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.