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Finding the Third Proportional to 137,624.06 and 201,125.53

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Solution

The third proportional to 137,624.06 and 201,125.53 is: 293,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624.06 : 201,125.53 = 201,125.53 : x
  2. Step 2: Convert to fraction form
    137,624.06/201,125.53 = 201,125.53/x
  3. Step 3: Cross multiply
    137,624.06x = 201,125.53 × 201,125.53
  4. Step 4: Simplify right side
    137,624.06x = 40,451,479,320.59
  5. Step 5: Solve for x
    x = 40,451,479,320.59/137,624.06
  6. Step 6: Final answer
    x = 293,927.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.