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Finding the Third Proportional to 137,144 and 205,716

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Solution

The third proportional to 137,144 and 205,716 is: 308,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144 : 205,716 = 205,716 : x
  2. Step 2: Convert to fraction form
    137,144/205,716 = 205,716/x
  3. Step 3: Cross multiply
    137,144x = 205,716 × 205,716
  4. Step 4: Simplify right side
    137,144x = 42,319,072,656
  5. Step 5: Solve for x
    x = 42,319,072,656/137,144
  6. Step 6: Final answer
    x = 308,574

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.