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Finding the Third Proportional to 72,353.25 and 108,985.50

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Solution

The third proportional to 72,353.25 and 108,985.50 is: 164,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,353.25 : 108,985.50 = 108,985.50 : x
  2. Step 2: Convert to fraction form
    72,353.25/108,985.50 = 108,985.50/x
  3. Step 3: Cross multiply
    72,353.25x = 108,985.50 × 108,985.50
  4. Step 4: Simplify right side
    72,353.25x = 11,877,839,210.25
  5. Step 5: Solve for x
    x = 11,877,839,210.25/72,353.25
  6. Step 6: Final answer
    x = 164,164.56

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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.