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Finding the Third Proportional to 32,090.50 and 70,381

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Solution

The third proportional to 32,090.50 and 70,381 is: 154,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.50 : 70,381 = 70,381 : x
  2. Step 2: Convert to fraction form
    32,090.50/70,381 = 70,381/x
  3. Step 3: Cross multiply
    32,090.50x = 70,381 × 70,381
  4. Step 4: Simplify right side
    32,090.50x = 4,953,485,161
  5. Step 5: Solve for x
    x = 4,953,485,161/32,090.50
  6. Step 6: Final answer
    x = 154,359.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.