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Finding the Third Proportional to 65,543 and 98,232

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Solution

The third proportional to 65,543 and 98,232 is: 147,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,543 : 98,232 = 98,232 : x
  2. Step 2: Convert to fraction form
    65,543/98,232 = 98,232/x
  3. Step 3: Cross multiply
    65,543x = 98,232 × 98,232
  4. Step 4: Simplify right side
    65,543x = 9,649,525,824
  5. Step 5: Solve for x
    x = 9,649,525,824/65,543
  6. Step 6: Final answer
    x = 147,224.35

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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.