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Finding the Third Proportional to 64,543 and 92,960

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Solution

The third proportional to 64,543 and 92,960 is: 133,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,543 : 92,960 = 92,960 : x
  2. Step 2: Convert to fraction form
    64,543/92,960 = 92,960/x
  3. Step 3: Cross multiply
    64,543x = 92,960 × 92,960
  4. Step 4: Simplify right side
    64,543x = 8,641,561,600
  5. Step 5: Solve for x
    x = 8,641,561,600/64,543
  6. Step 6: Final answer
    x = 133,888.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.