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Finding the Third Proportional to 103,288 and 139,384

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Solution

The third proportional to 103,288 and 139,384 is: 188,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288 : 139,384 = 139,384 : x
  2. Step 2: Convert to fraction form
    103,288/139,384 = 139,384/x
  3. Step 3: Cross multiply
    103,288x = 139,384 × 139,384
  4. Step 4: Simplify right side
    103,288x = 19,427,899,456
  5. Step 5: Solve for x
    x = 19,427,899,456/103,288
  6. Step 6: Final answer
    x = 188,094.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.