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Finding the Third Proportional to 73,346 and 108,688

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Solution

The third proportional to 73,346 and 108,688 is: 161,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,346 : 108,688 = 108,688 : x
  2. Step 2: Convert to fraction form
    73,346/108,688 = 108,688/x
  3. Step 3: Cross multiply
    73,346x = 108,688 × 108,688
  4. Step 4: Simplify right side
    73,346x = 11,813,081,344
  5. Step 5: Solve for x
    x = 11,813,081,344/73,346
  6. Step 6: Final answer
    x = 161,059.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.