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Finding the Third Proportional to 62,316 and 133,491.38

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Solution

The third proportional to 62,316 and 133,491.38 is: 285,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,316 : 133,491.38 = 133,491.38 : x
  2. Step 2: Convert to fraction form
    62,316/133,491.38 = 133,491.38/x
  3. Step 3: Cross multiply
    62,316x = 133,491.38 × 133,491.38
  4. Step 4: Simplify right side
    62,316x = 17,819,947,199.39
  5. Step 5: Solve for x
    x = 17,819,947,199.39/62,316
  6. Step 6: Final answer
    x = 285,961.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.