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Finding the Third Proportional to 65,135 and 97,865

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Solution

The third proportional to 65,135 and 97,865 is: 147,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135 : 97,865 = 97,865 : x
  2. Step 2: Convert to fraction form
    65,135/97,865 = 97,865/x
  3. Step 3: Cross multiply
    65,135x = 97,865 × 97,865
  4. Step 4: Simplify right side
    65,135x = 9,577,558,225
  5. Step 5: Solve for x
    x = 9,577,558,225/65,135
  6. Step 6: Final answer
    x = 147,041.66

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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.