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Finding the Third Proportional to 64,550 and 141,543

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Solution

The third proportional to 64,550 and 141,543 is: 310,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,550 : 141,543 = 141,543 : x
  2. Step 2: Convert to fraction form
    64,550/141,543 = 141,543/x
  3. Step 3: Cross multiply
    64,550x = 141,543 × 141,543
  4. Step 4: Simplify right side
    64,550x = 20,034,420,849
  5. Step 5: Solve for x
    x = 20,034,420,849/64,550
  6. Step 6: Final answer
    x = 310,370.58

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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.