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Finding the Third Proportional to 65,534 and 139,652

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Solution

The third proportional to 65,534 and 139,652 is: 297,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534 : 139,652 = 139,652 : x
  2. Step 2: Convert to fraction form
    65,534/139,652 = 139,652/x
  3. Step 3: Cross multiply
    65,534x = 139,652 × 139,652
  4. Step 4: Simplify right side
    65,534x = 19,502,681,104
  5. Step 5: Solve for x
    x = 19,502,681,104/65,534
  6. Step 6: Final answer
    x = 297,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.