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Finding the Third Proportional to 68,898 and 103,346.25

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Solution

The third proportional to 68,898 and 103,346.25 is: 155,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,898 : 103,346.25 = 103,346.25 : x
  2. Step 2: Convert to fraction form
    68,898/103,346.25 = 103,346.25/x
  3. Step 3: Cross multiply
    68,898x = 103,346.25 × 103,346.25
  4. Step 4: Simplify right side
    68,898x = 10,680,447,389.06
  5. Step 5: Solve for x
    x = 10,680,447,389.06/68,898
  6. Step 6: Final answer
    x = 155,018.25

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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.