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Finding the Third Proportional to 90,830.25 and 141,126.75

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Solution

The third proportional to 90,830.25 and 141,126.75 is: 219,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,830.25 : 141,126.75 = 141,126.75 : x
  2. Step 2: Convert to fraction form
    90,830.25/141,126.75 = 141,126.75/x
  3. Step 3: Cross multiply
    90,830.25x = 141,126.75 × 141,126.75
  4. Step 4: Simplify right side
    90,830.25x = 19,916,759,565.56
  5. Step 5: Solve for x
    x = 19,916,759,565.56/90,830.25
  6. Step 6: Final answer
    x = 219,274.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.