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Finding the Third Proportional to 72,214 and 157,550

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Solution

The third proportional to 72,214 and 157,550 is: 343,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,214 : 157,550 = 157,550 : x
  2. Step 2: Convert to fraction form
    72,214/157,550 = 157,550/x
  3. Step 3: Cross multiply
    72,214x = 157,550 × 157,550
  4. Step 4: Simplify right side
    72,214x = 24,822,002,500
  5. Step 5: Solve for x
    x = 24,822,002,500/72,214
  6. Step 6: Final answer
    x = 343,728.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.