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Finding the Third Proportional to 64,017 and 91,894.50

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Solution

The third proportional to 64,017 and 91,894.50 is: 131,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 91,894.50 = 91,894.50 : x
  2. Step 2: Convert to fraction form
    64,017/91,894.50 = 91,894.50/x
  3. Step 3: Cross multiply
    64,017x = 91,894.50 × 91,894.50
  4. Step 4: Simplify right side
    64,017x = 8,444,599,130.25
  5. Step 5: Solve for x
    x = 8,444,599,130.25/64,017
  6. Step 6: Final answer
    x = 131,911.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.