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Finding the Third Proportional to 64,483 and 99,640

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Solution

The third proportional to 64,483 and 99,640 is: 153,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,483 : 99,640 = 99,640 : x
  2. Step 2: Convert to fraction form
    64,483/99,640 = 99,640/x
  3. Step 3: Cross multiply
    64,483x = 99,640 × 99,640
  4. Step 4: Simplify right side
    64,483x = 9,928,129,600
  5. Step 5: Solve for x
    x = 9,928,129,600/64,483
  6. Step 6: Final answer
    x = 153,965.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.