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Finding the Third Proportional to 67,138 and 147,773

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Solution

The third proportional to 67,138 and 147,773 is: 325,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138 : 147,773 = 147,773 : x
  2. Step 2: Convert to fraction form
    67,138/147,773 = 147,773/x
  3. Step 3: Cross multiply
    67,138x = 147,773 × 147,773
  4. Step 4: Simplify right side
    67,138x = 21,836,859,529
  5. Step 5: Solve for x
    x = 21,836,859,529/67,138
  6. Step 6: Final answer
    x = 325,253.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.