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Finding the Third Proportional to 137,922 and 200,889

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Solution

The third proportional to 137,922 and 200,889 is: 292,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,922 : 200,889 = 200,889 : x
  2. Step 2: Convert to fraction form
    137,922/200,889 = 200,889/x
  3. Step 3: Cross multiply
    137,922x = 200,889 × 200,889
  4. Step 4: Simplify right side
    137,922x = 40,356,390,321
  5. Step 5: Solve for x
    x = 40,356,390,321/137,922
  6. Step 6: Final answer
    x = 292,603.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.