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Finding the Third Proportional to 64,976 and 95,160

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Solution

The third proportional to 64,976 and 95,160 is: 139,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976 : 95,160 = 95,160 : x
  2. Step 2: Convert to fraction form
    64,976/95,160 = 95,160/x
  3. Step 3: Cross multiply
    64,976x = 95,160 × 95,160
  4. Step 4: Simplify right side
    64,976x = 9,055,425,600
  5. Step 5: Solve for x
    x = 9,055,425,600/64,976
  6. Step 6: Final answer
    x = 139,365.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.