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Finding the Third Proportional to 68,613 and 103,108.50

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Solution

The third proportional to 68,613 and 103,108.50 is: 154,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,613 : 103,108.50 = 103,108.50 : x
  2. Step 2: Convert to fraction form
    68,613/103,108.50 = 103,108.50/x
  3. Step 3: Cross multiply
    68,613x = 103,108.50 × 103,108.50
  4. Step 4: Simplify right side
    68,613x = 10,631,362,772.25
  5. Step 5: Solve for x
    x = 10,631,362,772.25/68,613
  6. Step 6: Final answer
    x = 154,946.77

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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.