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Finding the Third Proportional to 55,712 and 83,833

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Solution

The third proportional to 55,712 and 83,833 is: 126,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,712 : 83,833 = 83,833 : x
  2. Step 2: Convert to fraction form
    55,712/83,833 = 83,833/x
  3. Step 3: Cross multiply
    55,712x = 83,833 × 83,833
  4. Step 4: Simplify right side
    55,712x = 7,027,971,889
  5. Step 5: Solve for x
    x = 7,027,971,889/55,712
  6. Step 6: Final answer
    x = 126,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.