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Finding the Third Proportional to 71,097.75 and 155,587.50

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Solution

The third proportional to 71,097.75 and 155,587.50 is: 340,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097.75 : 155,587.50 = 155,587.50 : x
  2. Step 2: Convert to fraction form
    71,097.75/155,587.50 = 155,587.50/x
  3. Step 3: Cross multiply
    71,097.75x = 155,587.50 × 155,587.50
  4. Step 4: Simplify right side
    71,097.75x = 24,207,470,156.25
  5. Step 5: Solve for x
    x = 24,207,470,156.25/71,097.75
  6. Step 6: Final answer
    x = 340,481.52

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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.