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Finding the Third Proportional to 68,971.50 and 106,562.25

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Solution

The third proportional to 68,971.50 and 106,562.25 is: 164,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.50 : 106,562.25 = 106,562.25 : x
  2. Step 2: Convert to fraction form
    68,971.50/106,562.25 = 106,562.25/x
  3. Step 3: Cross multiply
    68,971.50x = 106,562.25 × 106,562.25
  4. Step 4: Simplify right side
    68,971.50x = 11,355,513,125.06
  5. Step 5: Solve for x
    x = 11,355,513,125.06/68,971.50
  6. Step 6: Final answer
    x = 164,640.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.