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Finding the Third Proportional to 72,004 and 157,110

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Solution

The third proportional to 72,004 and 157,110 is: 342,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004 : 157,110 = 157,110 : x
  2. Step 2: Convert to fraction form
    72,004/157,110 = 157,110/x
  3. Step 3: Cross multiply
    72,004x = 157,110 × 157,110
  4. Step 4: Simplify right side
    72,004x = 24,683,552,100
  5. Step 5: Solve for x
    x = 24,683,552,100/72,004
  6. Step 6: Final answer
    x = 342,808.07

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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.