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Finding the Third Proportional to 65,700 and 101,466.75

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Solution

The third proportional to 65,700 and 101,466.75 is: 156,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,700 : 101,466.75 = 101,466.75 : x
  2. Step 2: Convert to fraction form
    65,700/101,466.75 = 101,466.75/x
  3. Step 3: Cross multiply
    65,700x = 101,466.75 × 101,466.75
  4. Step 4: Simplify right side
    65,700x = 10,295,501,355.56
  5. Step 5: Solve for x
    x = 10,295,501,355.56/65,700
  6. Step 6: Final answer
    x = 156,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.