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Finding the Third Proportional to 65,795 and 97,558

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Solution

The third proportional to 65,795 and 97,558 is: 144,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,795 : 97,558 = 97,558 : x
  2. Step 2: Convert to fraction form
    65,795/97,558 = 97,558/x
  3. Step 3: Cross multiply
    65,795x = 97,558 × 97,558
  4. Step 4: Simplify right side
    65,795x = 9,517,563,364
  5. Step 5: Solve for x
    x = 9,517,563,364/65,795
  6. Step 6: Final answer
    x = 144,654.81

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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.