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Finding the Third Proportional to 93,339 and 138,544.50

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Solution

The third proportional to 93,339 and 138,544.50 is: 205,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,339 : 138,544.50 = 138,544.50 : x
  2. Step 2: Convert to fraction form
    93,339/138,544.50 = 138,544.50/x
  3. Step 3: Cross multiply
    93,339x = 138,544.50 × 138,544.50
  4. Step 4: Simplify right side
    93,339x = 19,194,578,480.25
  5. Step 5: Solve for x
    x = 19,194,578,480.25/93,339
  6. Step 6: Final answer
    x = 205,643.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.