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Finding the Third Proportional to 65,980 and 97,732

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Solution

The third proportional to 65,980 and 97,732 is: 144,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980 : 97,732 = 97,732 : x
  2. Step 2: Convert to fraction form
    65,980/97,732 = 97,732/x
  3. Step 3: Cross multiply
    65,980x = 97,732 × 97,732
  4. Step 4: Simplify right side
    65,980x = 9,551,543,824
  5. Step 5: Solve for x
    x = 9,551,543,824/65,980
  6. Step 6: Final answer
    x = 144,764.23

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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.