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Finding the Third Proportional to 30,259.50 and 81,298.50

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Solution

The third proportional to 30,259.50 and 81,298.50 is: 218,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 81,298.50 = 81,298.50 : x
  2. Step 2: Convert to fraction form
    30,259.50/81,298.50 = 81,298.50/x
  3. Step 3: Cross multiply
    30,259.50x = 81,298.50 × 81,298.50
  4. Step 4: Simplify right side
    30,259.50x = 6,609,446,102.25
  5. Step 5: Solve for x
    x = 6,609,446,102.25/30,259.50
  6. Step 6: Final answer
    x = 218,425.49

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.