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Finding the Third Proportional to 65,480 and 96,992

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Solution

The third proportional to 65,480 and 96,992 is: 143,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480 : 96,992 = 96,992 : x
  2. Step 2: Convert to fraction form
    65,480/96,992 = 96,992/x
  3. Step 3: Cross multiply
    65,480x = 96,992 × 96,992
  4. Step 4: Simplify right side
    65,480x = 9,407,448,064
  5. Step 5: Solve for x
    x = 9,407,448,064/65,480
  6. Step 6: Final answer
    x = 143,669.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.