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Finding the Third Proportional to 63,138 and 147,522

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Solution

The third proportional to 63,138 and 147,522 is: 344,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138 : 147,522 = 147,522 : x
  2. Step 2: Convert to fraction form
    63,138/147,522 = 147,522/x
  3. Step 3: Cross multiply
    63,138x = 147,522 × 147,522
  4. Step 4: Simplify right side
    63,138x = 21,762,740,484
  5. Step 5: Solve for x
    x = 21,762,740,484/63,138
  6. Step 6: Final answer
    x = 344,685.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.