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Finding the Third Proportional to 110,943 and 237,762

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Solution

The third proportional to 110,943 and 237,762 is: 509,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,943 : 237,762 = 237,762 : x
  2. Step 2: Convert to fraction form
    110,943/237,762 = 237,762/x
  3. Step 3: Cross multiply
    110,943x = 237,762 × 237,762
  4. Step 4: Simplify right side
    110,943x = 56,530,768,644
  5. Step 5: Solve for x
    x = 56,530,768,644/110,943
  6. Step 6: Final answer
    x = 509,547.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.