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Finding the Third Proportional to 112,536 and 245,983.50

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Solution

The third proportional to 112,536 and 245,983.50 is: 537,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,536 : 245,983.50 = 245,983.50 : x
  2. Step 2: Convert to fraction form
    112,536/245,983.50 = 245,983.50/x
  3. Step 3: Cross multiply
    112,536x = 245,983.50 × 245,983.50
  4. Step 4: Simplify right side
    112,536x = 60,507,882,272.25
  5. Step 5: Solve for x
    x = 60,507,882,272.25/112,536
  6. Step 6: Final answer
    x = 537,675.79

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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.