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Finding the Third Proportional to 112,473 and 237,589.50

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Solution

The third proportional to 112,473 and 237,589.50 is: 501,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,473 : 237,589.50 = 237,589.50 : x
  2. Step 2: Convert to fraction form
    112,473/237,589.50 = 237,589.50/x
  3. Step 3: Cross multiply
    112,473x = 237,589.50 × 237,589.50
  4. Step 4: Simplify right side
    112,473x = 56,448,770,510.25
  5. Step 5: Solve for x
    x = 56,448,770,510.25/112,473
  6. Step 6: Final answer
    x = 501,887.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.