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Finding the Third Proportional to 55,440 and 84,543

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Solution

The third proportional to 55,440 and 84,543 is: 128,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,440 : 84,543 = 84,543 : x
  2. Step 2: Convert to fraction form
    55,440/84,543 = 84,543/x
  3. Step 3: Cross multiply
    55,440x = 84,543 × 84,543
  4. Step 4: Simplify right side
    55,440x = 7,147,518,849
  5. Step 5: Solve for x
    x = 7,147,518,849/55,440
  6. Step 6: Final answer
    x = 128,923.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.