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Finding the Third Proportional to 65,637 and 98,433

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Solution

The third proportional to 65,637 and 98,433 is: 147,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,637 : 98,433 = 98,433 : x
  2. Step 2: Convert to fraction form
    65,637/98,433 = 98,433/x
  3. Step 3: Cross multiply
    65,637x = 98,433 × 98,433
  4. Step 4: Simplify right side
    65,637x = 9,689,055,489
  5. Step 5: Solve for x
    x = 9,689,055,489/65,637
  6. Step 6: Final answer
    x = 147,615.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.