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Finding the Third Proportional to 72,862 and 157,208

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Solution

The third proportional to 72,862 and 157,208 is: 339,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,862 : 157,208 = 157,208 : x
  2. Step 2: Convert to fraction form
    72,862/157,208 = 157,208/x
  3. Step 3: Cross multiply
    72,862x = 157,208 × 157,208
  4. Step 4: Simplify right side
    72,862x = 24,714,355,264
  5. Step 5: Solve for x
    x = 24,714,355,264/72,862
  6. Step 6: Final answer
    x = 339,194.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.