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Finding the Third Proportional to 128,398.50 and 185,901.75

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Solution

The third proportional to 128,398.50 and 185,901.75 is: 269,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,398.50 : 185,901.75 = 185,901.75 : x
  2. Step 2: Convert to fraction form
    128,398.50/185,901.75 = 185,901.75/x
  3. Step 3: Cross multiply
    128,398.50x = 185,901.75 × 185,901.75
  4. Step 4: Simplify right side
    128,398.50x = 34,559,460,653.06
  5. Step 5: Solve for x
    x = 34,559,460,653.06/128,398.50
  6. Step 6: Final answer
    x = 269,157.82

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.