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Finding the Third Proportional to 64,068 and 95,577

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Solution

The third proportional to 64,068 and 95,577 is: 142,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,068 : 95,577 = 95,577 : x
  2. Step 2: Convert to fraction form
    64,068/95,577 = 95,577/x
  3. Step 3: Cross multiply
    64,068x = 95,577 × 95,577
  4. Step 4: Simplify right side
    64,068x = 9,134,962,929
  5. Step 5: Solve for x
    x = 9,134,962,929/64,068
  6. Step 6: Final answer
    x = 142,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.