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Finding the Third Proportional to 55,441 and 98,570

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Solution

The third proportional to 55,441 and 98,570 is: 175,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,441 : 98,570 = 98,570 : x
  2. Step 2: Convert to fraction form
    55,441/98,570 = 98,570/x
  3. Step 3: Cross multiply
    55,441x = 98,570 × 98,570
  4. Step 4: Simplify right side
    55,441x = 9,716,044,900
  5. Step 5: Solve for x
    x = 9,716,044,900/55,441
  6. Step 6: Final answer
    x = 175,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.