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Finding the Third Proportional to 65,427 and 103,769

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Solution

The third proportional to 65,427 and 103,769 is: 164,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427 : 103,769 = 103,769 : x
  2. Step 2: Convert to fraction form
    65,427/103,769 = 103,769/x
  3. Step 3: Cross multiply
    65,427x = 103,769 × 103,769
  4. Step 4: Simplify right side
    65,427x = 10,768,005,361
  5. Step 5: Solve for x
    x = 10,768,005,361/65,427
  6. Step 6: Final answer
    x = 164,580.45

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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.