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Finding the Third Proportional to 73,070 and 89,012

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Solution

The third proportional to 73,070 and 89,012 is: 108,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070 : 89,012 = 89,012 : x
  2. Step 2: Convert to fraction form
    73,070/89,012 = 89,012/x
  3. Step 3: Cross multiply
    73,070x = 89,012 × 89,012
  4. Step 4: Simplify right side
    73,070x = 7,923,136,144
  5. Step 5: Solve for x
    x = 7,923,136,144/73,070
  6. Step 6: Final answer
    x = 108,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.