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Finding the Third Proportional to 65,122 and 97,664

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Solution

The third proportional to 65,122 and 97,664 is: 146,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122 : 97,664 = 97,664 : x
  2. Step 2: Convert to fraction form
    65,122/97,664 = 97,664/x
  3. Step 3: Cross multiply
    65,122x = 97,664 × 97,664
  4. Step 4: Simplify right side
    65,122x = 9,538,256,896
  5. Step 5: Solve for x
    x = 9,538,256,896/65,122
  6. Step 6: Final answer
    x = 146,467.51

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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.