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Finding the Third Proportional to 65,096 and 98,737

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Solution

The third proportional to 65,096 and 98,737 is: 149,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096 : 98,737 = 98,737 : x
  2. Step 2: Convert to fraction form
    65,096/98,737 = 98,737/x
  3. Step 3: Cross multiply
    65,096x = 98,737 × 98,737
  4. Step 4: Simplify right side
    65,096x = 9,748,995,169
  5. Step 5: Solve for x
    x = 9,748,995,169/65,096
  6. Step 6: Final answer
    x = 149,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.