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Finding the Third Proportional to 90,460 and 138,039

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Solution

The third proportional to 90,460 and 138,039 is: 210,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,460 : 138,039 = 138,039 : x
  2. Step 2: Convert to fraction form
    90,460/138,039 = 138,039/x
  3. Step 3: Cross multiply
    90,460x = 138,039 × 138,039
  4. Step 4: Simplify right side
    90,460x = 19,054,765,521
  5. Step 5: Solve for x
    x = 19,054,765,521/90,460
  6. Step 6: Final answer
    x = 210,643.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.