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Finding the Third Proportional to 113,407 and 166,829

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Solution

The third proportional to 113,407 and 166,829 is: 245,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407 : 166,829 = 166,829 : x
  2. Step 2: Convert to fraction form
    113,407/166,829 = 166,829/x
  3. Step 3: Cross multiply
    113,407x = 166,829 × 166,829
  4. Step 4: Simplify right side
    113,407x = 27,831,915,241
  5. Step 5: Solve for x
    x = 27,831,915,241/113,407
  6. Step 6: Final answer
    x = 245,416.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.