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Finding the Third Proportional to 72,580.50 and 108,902.25

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Solution

The third proportional to 72,580.50 and 108,902.25 is: 163,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580.50 : 108,902.25 = 108,902.25 : x
  2. Step 2: Convert to fraction form
    72,580.50/108,902.25 = 108,902.25/x
  3. Step 3: Cross multiply
    72,580.50x = 108,902.25 × 108,902.25
  4. Step 4: Simplify right side
    72,580.50x = 11,859,700,055.06
  5. Step 5: Solve for x
    x = 11,859,700,055.06/72,580.50
  6. Step 6: Final answer
    x = 163,400.64

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