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Finding the Third Proportional to 90,966.75 and 138,285.75

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Solution

The third proportional to 90,966.75 and 138,285.75 is: 210,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,966.75 : 138,285.75 = 138,285.75 : x
  2. Step 2: Convert to fraction form
    90,966.75/138,285.75 = 138,285.75/x
  3. Step 3: Cross multiply
    90,966.75x = 138,285.75 × 138,285.75
  4. Step 4: Simplify right side
    90,966.75x = 19,122,948,653.06
  5. Step 5: Solve for x
    x = 19,122,948,653.06/90,966.75
  6. Step 6: Final answer
    x = 210,219.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.