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Finding the Third Proportional to 64,320 and 98,923

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Solution

The third proportional to 64,320 and 98,923 is: 152,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,320 : 98,923 = 98,923 : x
  2. Step 2: Convert to fraction form
    64,320/98,923 = 98,923/x
  3. Step 3: Cross multiply
    64,320x = 98,923 × 98,923
  4. Step 4: Simplify right side
    64,320x = 9,785,759,929
  5. Step 5: Solve for x
    x = 9,785,759,929/64,320
  6. Step 6: Final answer
    x = 152,141.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.