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Finding the Third Proportional to 130,774.50 and 197,124.19

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Solution

The third proportional to 130,774.50 and 197,124.19 is: 297,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,774.50 : 197,124.19 = 197,124.19 : x
  2. Step 2: Convert to fraction form
    130,774.50/197,124.19 = 197,124.19/x
  3. Step 3: Cross multiply
    130,774.50x = 197,124.19 × 197,124.19
  4. Step 4: Simplify right side
    130,774.50x = 38,857,945,297.54
  5. Step 5: Solve for x
    x = 38,857,945,297.54/130,774.50
  6. Step 6: Final answer
    x = 297,137.02

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