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Finding the Third Proportional to 62,515 and 147,482

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Solution

The third proportional to 62,515 and 147,482 is: 347,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,515 : 147,482 = 147,482 : x
  2. Step 2: Convert to fraction form
    62,515/147,482 = 147,482/x
  3. Step 3: Cross multiply
    62,515x = 147,482 × 147,482
  4. Step 4: Simplify right side
    62,515x = 21,750,940,324
  5. Step 5: Solve for x
    x = 21,750,940,324/62,515
  6. Step 6: Final answer
    x = 347,931.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.