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Finding the Third Proportional to 79,983 and 175,030.50

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Solution

The third proportional to 79,983 and 175,030.50 is: 383,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,983 : 175,030.50 = 175,030.50 : x
  2. Step 2: Convert to fraction form
    79,983/175,030.50 = 175,030.50/x
  3. Step 3: Cross multiply
    79,983x = 175,030.50 × 175,030.50
  4. Step 4: Simplify right side
    79,983x = 30,635,675,930.25
  5. Step 5: Solve for x
    x = 30,635,675,930.25/79,983
  6. Step 6: Final answer
    x = 383,027.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.