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Finding the Third Proportional to 65,640 and 98,436

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Solution

The third proportional to 65,640 and 98,436 is: 147,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640 : 98,436 = 98,436 : x
  2. Step 2: Convert to fraction form
    65,640/98,436 = 98,436/x
  3. Step 3: Cross multiply
    65,640x = 98,436 × 98,436
  4. Step 4: Simplify right side
    65,640x = 9,689,646,096
  5. Step 5: Solve for x
    x = 9,689,646,096/65,640
  6. Step 6: Final answer
    x = 147,618.01

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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.