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Finding the Third Proportional to 72,804 and 115,770

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Solution

The third proportional to 72,804 and 115,770 is: 184,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804 : 115,770 = 115,770 : x
  2. Step 2: Convert to fraction form
    72,804/115,770 = 115,770/x
  3. Step 3: Cross multiply
    72,804x = 115,770 × 115,770
  4. Step 4: Simplify right side
    72,804x = 13,402,692,900
  5. Step 5: Solve for x
    x = 13,402,692,900/72,804
  6. Step 6: Final answer
    x = 184,092.81

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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.