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Finding the Third Proportional to 129,873 and 175,993.50

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Solution

The third proportional to 129,873 and 175,993.50 is: 238,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873 : 175,993.50 = 175,993.50 : x
  2. Step 2: Convert to fraction form
    129,873/175,993.50 = 175,993.50/x
  3. Step 3: Cross multiply
    129,873x = 175,993.50 × 175,993.50
  4. Step 4: Simplify right side
    129,873x = 30,973,712,042.25
  5. Step 5: Solve for x
    x = 30,973,712,042.25/129,873
  6. Step 6: Final answer
    x = 238,492.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.