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Finding the Third Proportional to 72,009 and 108,661.50

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Solution

The third proportional to 72,009 and 108,661.50 is: 163,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,009 : 108,661.50 = 108,661.50 : x
  2. Step 2: Convert to fraction form
    72,009/108,661.50 = 108,661.50/x
  3. Step 3: Cross multiply
    72,009x = 108,661.50 × 108,661.50
  4. Step 4: Simplify right side
    72,009x = 11,807,321,582.25
  5. Step 5: Solve for x
    x = 11,807,321,582.25/72,009
  6. Step 6: Final answer
    x = 163,970.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.