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Finding the Third Proportional to 62,442 and 133,816.50

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Solution

The third proportional to 62,442 and 133,816.50 is: 286,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442 : 133,816.50 = 133,816.50 : x
  2. Step 2: Convert to fraction form
    62,442/133,816.50 = 133,816.50/x
  3. Step 3: Cross multiply
    62,442x = 133,816.50 × 133,816.50
  4. Step 4: Simplify right side
    62,442x = 17,906,855,672.25
  5. Step 5: Solve for x
    x = 17,906,855,672.25/62,442
  6. Step 6: Final answer
    x = 286,775.82

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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.