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Finding the Third Proportional to 64,959.75 and 139,590

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Solution

The third proportional to 64,959.75 and 139,590 is: 299,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,959.75 : 139,590 = 139,590 : x
  2. Step 2: Convert to fraction form
    64,959.75/139,590 = 139,590/x
  3. Step 3: Cross multiply
    64,959.75x = 139,590 × 139,590
  4. Step 4: Simplify right side
    64,959.75x = 19,485,368,100
  5. Step 5: Solve for x
    x = 19,485,368,100/64,959.75
  6. Step 6: Final answer
    x = 299,960.64

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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.