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Finding the Third Proportional to 122,652 and 184,585.50

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Solution

The third proportional to 122,652 and 184,585.50 is: 277,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,652 : 184,585.50 = 184,585.50 : x
  2. Step 2: Convert to fraction form
    122,652/184,585.50 = 184,585.50/x
  3. Step 3: Cross multiply
    122,652x = 184,585.50 × 184,585.50
  4. Step 4: Simplify right side
    122,652x = 34,071,806,810.25
  5. Step 5: Solve for x
    x = 34,071,806,810.25/122,652
  6. Step 6: Final answer
    x = 277,792.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.