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Finding the Third Proportional to 94,242 and 145,737

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Solution

The third proportional to 94,242 and 145,737 is: 225,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,242 : 145,737 = 145,737 : x
  2. Step 2: Convert to fraction form
    94,242/145,737 = 145,737/x
  3. Step 3: Cross multiply
    94,242x = 145,737 × 145,737
  4. Step 4: Simplify right side
    94,242x = 21,239,273,169
  5. Step 5: Solve for x
    x = 21,239,273,169/94,242
  6. Step 6: Final answer
    x = 225,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.