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Finding the Third Proportional to 112,418 and 248,642

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Solution

The third proportional to 112,418 and 248,642 is: 549,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,418 : 248,642 = 248,642 : x
  2. Step 2: Convert to fraction form
    112,418/248,642 = 248,642/x
  3. Step 3: Cross multiply
    112,418x = 248,642 × 248,642
  4. Step 4: Simplify right side
    112,418x = 61,822,844,164
  5. Step 5: Solve for x
    x = 61,822,844,164/112,418
  6. Step 6: Final answer
    x = 549,937.24

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.