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Finding the Third Proportional to 141,018.75 and 212,722.88

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Solution

The third proportional to 141,018.75 and 212,722.88 is: 320,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,018.75 : 212,722.88 = 212,722.88 : x
  2. Step 2: Convert to fraction form
    141,018.75/212,722.88 = 212,722.88/x
  3. Step 3: Cross multiply
    141,018.75x = 212,722.88 × 212,722.88
  4. Step 4: Simplify right side
    141,018.75x = 45,251,021,548.27
  5. Step 5: Solve for x
    x = 45,251,021,548.27/141,018.75
  6. Step 6: Final answer
    x = 320,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.