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Finding the Third Proportional to 72,101 and 107,553

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Solution

The third proportional to 72,101 and 107,553 is: 160,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,101 : 107,553 = 107,553 : x
  2. Step 2: Convert to fraction form
    72,101/107,553 = 107,553/x
  3. Step 3: Cross multiply
    72,101x = 107,553 × 107,553
  4. Step 4: Simplify right side
    72,101x = 11,567,647,809
  5. Step 5: Solve for x
    x = 11,567,647,809/72,101
  6. Step 6: Final answer
    x = 160,436.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.