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Finding the Third Proportional to 67,468 and 148,057

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Solution

The third proportional to 67,468 and 148,057 is: 324,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,468 : 148,057 = 148,057 : x
  2. Step 2: Convert to fraction form
    67,468/148,057 = 148,057/x
  3. Step 3: Cross multiply
    67,468x = 148,057 × 148,057
  4. Step 4: Simplify right side
    67,468x = 21,920,875,249
  5. Step 5: Solve for x
    x = 21,920,875,249/67,468
  6. Step 6: Final answer
    x = 324,907.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.