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Finding the Third Proportional to 112,195 and 243,083

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Solution

The third proportional to 112,195 and 243,083 is: 526,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,195 : 243,083 = 243,083 : x
  2. Step 2: Convert to fraction form
    112,195/243,083 = 243,083/x
  3. Step 3: Cross multiply
    112,195x = 243,083 × 243,083
  4. Step 4: Simplify right side
    112,195x = 59,089,344,889
  5. Step 5: Solve for x
    x = 59,089,344,889/112,195
  6. Step 6: Final answer
    x = 526,666.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.