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Finding the Third Proportional to 128,805.19 and 197,052.75

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Solution

The third proportional to 128,805.19 and 197,052.75 is: 301,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,805.19 : 197,052.75 = 197,052.75 : x
  2. Step 2: Convert to fraction form
    128,805.19/197,052.75 = 197,052.75/x
  3. Step 3: Cross multiply
    128,805.19x = 197,052.75 × 197,052.75
  4. Step 4: Simplify right side
    128,805.19x = 38,829,786,282.56
  5. Step 5: Solve for x
    x = 38,829,786,282.56/128,805.19
  6. Step 6: Final answer
    x = 301,461.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.