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Finding the Third Proportional to 65,133 and 97,861

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Solution

The third proportional to 65,133 and 97,861 is: 147,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133 : 97,861 = 97,861 : x
  2. Step 2: Convert to fraction form
    65,133/97,861 = 97,861/x
  3. Step 3: Cross multiply
    65,133x = 97,861 × 97,861
  4. Step 4: Simplify right side
    65,133x = 9,576,775,321
  5. Step 5: Solve for x
    x = 9,576,775,321/65,133
  6. Step 6: Final answer
    x = 147,034.15

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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.