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Finding the Third Proportional to 64,120 and 95,648

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Solution

The third proportional to 64,120 and 95,648 is: 142,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,120 : 95,648 = 95,648 : x
  2. Step 2: Convert to fraction form
    64,120/95,648 = 95,648/x
  3. Step 3: Cross multiply
    64,120x = 95,648 × 95,648
  4. Step 4: Simplify right side
    64,120x = 9,148,539,904
  5. Step 5: Solve for x
    x = 9,148,539,904/64,120
  6. Step 6: Final answer
    x = 142,678.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.