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Finding the Third Proportional to 69,118.31 and 145,192.50

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Solution

The third proportional to 69,118.31 and 145,192.50 is: 304,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,118.31 : 145,192.50 = 145,192.50 : x
  2. Step 2: Convert to fraction form
    69,118.31/145,192.50 = 145,192.50/x
  3. Step 3: Cross multiply
    69,118.31x = 145,192.50 × 145,192.50
  4. Step 4: Simplify right side
    69,118.31x = 21,080,862,056.25
  5. Step 5: Solve for x
    x = 21,080,862,056.25/69,118.31
  6. Step 6: Final answer
    x = 304,996.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.