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Finding the Third Proportional to 91,938 and 144,465

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Solution

The third proportional to 91,938 and 144,465 is: 227,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,938 : 144,465 = 144,465 : x
  2. Step 2: Convert to fraction form
    91,938/144,465 = 144,465/x
  3. Step 3: Cross multiply
    91,938x = 144,465 × 144,465
  4. Step 4: Simplify right side
    91,938x = 20,870,136,225
  5. Step 5: Solve for x
    x = 20,870,136,225/91,938
  6. Step 6: Final answer
    x = 227,002.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.