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Finding the Third Proportional to 68,390.50 and 146,513

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Solution

The third proportional to 68,390.50 and 146,513 is: 313,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,390.50 : 146,513 = 146,513 : x
  2. Step 2: Convert to fraction form
    68,390.50/146,513 = 146,513/x
  3. Step 3: Cross multiply
    68,390.50x = 146,513 × 146,513
  4. Step 4: Simplify right side
    68,390.50x = 21,466,059,169
  5. Step 5: Solve for x
    x = 21,466,059,169/68,390.50
  6. Step 6: Final answer
    x = 313,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.