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Finding the Third Proportional to 72,906 and 115,950

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Solution

The third proportional to 72,906 and 115,950 is: 184,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906 : 115,950 = 115,950 : x
  2. Step 2: Convert to fraction form
    72,906/115,950 = 115,950/x
  3. Step 3: Cross multiply
    72,906x = 115,950 × 115,950
  4. Step 4: Simplify right side
    72,906x = 13,444,402,500
  5. Step 5: Solve for x
    x = 13,444,402,500/72,906
  6. Step 6: Final answer
    x = 184,407.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.