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Finding the Third Proportional to 64,954.50 and 139,578

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Solution

The third proportional to 64,954.50 and 139,578 is: 299,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954.50 : 139,578 = 139,578 : x
  2. Step 2: Convert to fraction form
    64,954.50/139,578 = 139,578/x
  3. Step 3: Cross multiply
    64,954.50x = 139,578 × 139,578
  4. Step 4: Simplify right side
    64,954.50x = 19,482,018,084
  5. Step 5: Solve for x
    x = 19,482,018,084/64,954.50
  6. Step 6: Final answer
    x = 299,933.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.