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Finding the Third Proportional to 65,688 and 104,328

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Solution

The third proportional to 65,688 and 104,328 is: 165,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688 : 104,328 = 104,328 : x
  2. Step 2: Convert to fraction form
    65,688/104,328 = 104,328/x
  3. Step 3: Cross multiply
    65,688x = 104,328 × 104,328
  4. Step 4: Simplify right side
    65,688x = 10,884,331,584
  5. Step 5: Solve for x
    x = 10,884,331,584/65,688
  6. Step 6: Final answer
    x = 165,697.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.