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Finding the Third Proportional to 64,894.50 and 143,883

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Solution

The third proportional to 64,894.50 and 143,883 is: 319,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894.50 : 143,883 = 143,883 : x
  2. Step 2: Convert to fraction form
    64,894.50/143,883 = 143,883/x
  3. Step 3: Cross multiply
    64,894.50x = 143,883 × 143,883
  4. Step 4: Simplify right side
    64,894.50x = 20,702,317,689
  5. Step 5: Solve for x
    x = 20,702,317,689/64,894.50
  6. Step 6: Final answer
    x = 319,014.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.