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Finding the Third Proportional to 73,222 and 107,052

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Solution

The third proportional to 73,222 and 107,052 is: 156,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,222 : 107,052 = 107,052 : x
  2. Step 2: Convert to fraction form
    73,222/107,052 = 107,052/x
  3. Step 3: Cross multiply
    73,222x = 107,052 × 107,052
  4. Step 4: Simplify right side
    73,222x = 11,460,130,704
  5. Step 5: Solve for x
    x = 11,460,130,704/73,222
  6. Step 6: Final answer
    x = 156,512.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.