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Finding the Third Proportional to 137,913 and 204,276

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Solution

The third proportional to 137,913 and 204,276 is: 302,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,913 : 204,276 = 204,276 : x
  2. Step 2: Convert to fraction form
    137,913/204,276 = 204,276/x
  3. Step 3: Cross multiply
    137,913x = 204,276 × 204,276
  4. Step 4: Simplify right side
    137,913x = 41,728,684,176
  5. Step 5: Solve for x
    x = 41,728,684,176/137,913
  6. Step 6: Final answer
    x = 302,572.52

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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.