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Finding the Third Proportional to 68,998 and 101,224.50

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Solution

The third proportional to 68,998 and 101,224.50 is: 148,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,998 : 101,224.50 = 101,224.50 : x
  2. Step 2: Convert to fraction form
    68,998/101,224.50 = 101,224.50/x
  3. Step 3: Cross multiply
    68,998x = 101,224.50 × 101,224.50
  4. Step 4: Simplify right side
    68,998x = 10,246,399,400.25
  5. Step 5: Solve for x
    x = 10,246,399,400.25/68,998
  6. Step 6: Final answer
    x = 148,502.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.