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Finding the Third Proportional to 64,929.25 and 101,496.75

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Solution

The third proportional to 64,929.25 and 101,496.75 is: 158,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929.25 : 101,496.75 = 101,496.75 : x
  2. Step 2: Convert to fraction form
    64,929.25/101,496.75 = 101,496.75/x
  3. Step 3: Cross multiply
    64,929.25x = 101,496.75 × 101,496.75
  4. Step 4: Simplify right side
    64,929.25x = 10,301,590,260.56
  5. Step 5: Solve for x
    x = 10,301,590,260.56/64,929.25
  6. Step 6: Final answer
    x = 158,658.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.