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Finding the Third Proportional to 65,342 and 97,752

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Solution

The third proportional to 65,342 and 97,752 is: 146,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342 : 97,752 = 97,752 : x
  2. Step 2: Convert to fraction form
    65,342/97,752 = 97,752/x
  3. Step 3: Cross multiply
    65,342x = 97,752 × 97,752
  4. Step 4: Simplify right side
    65,342x = 9,555,453,504
  5. Step 5: Solve for x
    x = 9,555,453,504/65,342
  6. Step 6: Final answer
    x = 146,237.54

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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.