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Finding the Third Proportional to 65,077 and 98,435

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Solution

The third proportional to 65,077 and 98,435 is: 148,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077 : 98,435 = 98,435 : x
  2. Step 2: Convert to fraction form
    65,077/98,435 = 98,435/x
  3. Step 3: Cross multiply
    65,077x = 98,435 × 98,435
  4. Step 4: Simplify right side
    65,077x = 9,689,449,225
  5. Step 5: Solve for x
    x = 9,689,449,225/65,077
  6. Step 6: Final answer
    x = 148,892.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.