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Finding the Third Proportional to 72,443 and 153,607

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Solution

The third proportional to 72,443 and 153,607 is: 325,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,443 : 153,607 = 153,607 : x
  2. Step 2: Convert to fraction form
    72,443/153,607 = 153,607/x
  3. Step 3: Cross multiply
    72,443x = 153,607 × 153,607
  4. Step 4: Simplify right side
    72,443x = 23,595,110,449
  5. Step 5: Solve for x
    x = 23,595,110,449/72,443
  6. Step 6: Final answer
    x = 325,705.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.