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Finding the Third Proportional to 65,130 and 97,755

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Solution

The third proportional to 65,130 and 97,755 is: 146,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130 : 97,755 = 97,755 : x
  2. Step 2: Convert to fraction form
    65,130/97,755 = 97,755/x
  3. Step 3: Cross multiply
    65,130x = 97,755 × 97,755
  4. Step 4: Simplify right side
    65,130x = 9,556,040,025
  5. Step 5: Solve for x
    x = 9,556,040,025/65,130
  6. Step 6: Final answer
    x = 146,722.56

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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.