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Finding the Third Proportional to 64,503 and 94,857.75

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Solution

The third proportional to 64,503 and 94,857.75 is: 139,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,503 : 94,857.75 = 94,857.75 : x
  2. Step 2: Convert to fraction form
    64,503/94,857.75 = 94,857.75/x
  3. Step 3: Cross multiply
    64,503x = 94,857.75 × 94,857.75
  4. Step 4: Simplify right side
    64,503x = 8,997,992,735.06
  5. Step 5: Solve for x
    x = 8,997,992,735.06/64,503
  6. Step 6: Final answer
    x = 139,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.