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Finding the Third Proportional to 67,259 and 147,577

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Solution

The third proportional to 67,259 and 147,577 is: 323,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,259 : 147,577 = 147,577 : x
  2. Step 2: Convert to fraction form
    67,259/147,577 = 147,577/x
  3. Step 3: Cross multiply
    67,259x = 147,577 × 147,577
  4. Step 4: Simplify right side
    67,259x = 21,778,970,929
  5. Step 5: Solve for x
    x = 21,778,970,929/67,259
  6. Step 6: Final answer
    x = 323,807.53

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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.