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Finding the Third Proportional to 129,601.50 and 185,330.25

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Solution

The third proportional to 129,601.50 and 185,330.25 is: 265,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,601.50 : 185,330.25 = 185,330.25 : x
  2. Step 2: Convert to fraction form
    129,601.50/185,330.25 = 185,330.25/x
  3. Step 3: Cross multiply
    129,601.50x = 185,330.25 × 185,330.25
  4. Step 4: Simplify right side
    129,601.50x = 34,347,301,565.06
  5. Step 5: Solve for x
    x = 34,347,301,565.06/129,601.50
  6. Step 6: Final answer
    x = 265,022.41

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.