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Finding the Third Proportional to 112,769 and 243,167

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Solution

The third proportional to 112,769 and 243,167 is: 524,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,769 : 243,167 = 243,167 : x
  2. Step 2: Convert to fraction form
    112,769/243,167 = 243,167/x
  3. Step 3: Cross multiply
    112,769x = 243,167 × 243,167
  4. Step 4: Simplify right side
    112,769x = 59,130,189,889
  5. Step 5: Solve for x
    x = 59,130,189,889/112,769
  6. Step 6: Final answer
    x = 524,347.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.