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Finding the Third Proportional to 72,006 and 157,114

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Solution

The third proportional to 72,006 and 157,114 is: 342,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006 : 157,114 = 157,114 : x
  2. Step 2: Convert to fraction form
    72,006/157,114 = 157,114/x
  3. Step 3: Cross multiply
    72,006x = 157,114 × 157,114
  4. Step 4: Simplify right side
    72,006x = 24,684,808,996
  5. Step 5: Solve for x
    x = 24,684,808,996/72,006
  6. Step 6: Final answer
    x = 342,816.00

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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.