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Finding the Third Proportional to 70,098.33 and 152,027.72

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Solution

The third proportional to 70,098.33 and 152,027.72 is: 329,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.33 : 152,027.72 = 152,027.72 : x
  2. Step 2: Convert to fraction form
    70,098.33/152,027.72 = 152,027.72/x
  3. Step 3: Cross multiply
    70,098.33x = 152,027.72 × 152,027.72
  4. Step 4: Simplify right side
    70,098.33x = 23,112,427,268.33
  5. Step 5: Solve for x
    x = 23,112,427,268.33/70,098.33
  6. Step 6: Final answer
    x = 329,714.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.