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Finding the Third Proportional to 72,073 and 157,066

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Solution

The third proportional to 72,073 and 157,066 is: 342,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,073 : 157,066 = 157,066 : x
  2. Step 2: Convert to fraction form
    72,073/157,066 = 157,066/x
  3. Step 3: Cross multiply
    72,073x = 157,066 × 157,066
  4. Step 4: Simplify right side
    72,073x = 24,669,728,356
  5. Step 5: Solve for x
    x = 24,669,728,356/72,073
  6. Step 6: Final answer
    x = 342,288.07

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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.