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Finding the Third Proportional to 64,738 and 101,724

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Solution

The third proportional to 64,738 and 101,724 is: 159,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738 : 101,724 = 101,724 : x
  2. Step 2: Convert to fraction form
    64,738/101,724 = 101,724/x
  3. Step 3: Cross multiply
    64,738x = 101,724 × 101,724
  4. Step 4: Simplify right side
    64,738x = 10,347,772,176
  5. Step 5: Solve for x
    x = 10,347,772,176/64,738
  6. Step 6: Final answer
    x = 159,840.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.