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Finding the Third Proportional to 62,733 and 89,429

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Solution

The third proportional to 62,733 and 89,429 is: 127,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,733 : 89,429 = 89,429 : x
  2. Step 2: Convert to fraction form
    62,733/89,429 = 89,429/x
  3. Step 3: Cross multiply
    62,733x = 89,429 × 89,429
  4. Step 4: Simplify right side
    62,733x = 7,997,546,041
  5. Step 5: Solve for x
    x = 7,997,546,041/62,733
  6. Step 6: Final answer
    x = 127,485.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.