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Finding the Third Proportional to 112,543 and 245,997

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Solution

The third proportional to 112,543 and 245,997 is: 537,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,543 : 245,997 = 245,997 : x
  2. Step 2: Convert to fraction form
    112,543/245,997 = 245,997/x
  3. Step 3: Cross multiply
    112,543x = 245,997 × 245,997
  4. Step 4: Simplify right side
    112,543x = 60,514,524,009
  5. Step 5: Solve for x
    x = 60,514,524,009/112,543
  6. Step 6: Final answer
    x = 537,701.36

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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.