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Finding the Third Proportional to 112,200 and 243,092

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Solution

The third proportional to 112,200 and 243,092 is: 526,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,200 : 243,092 = 243,092 : x
  2. Step 2: Convert to fraction form
    112,200/243,092 = 243,092/x
  3. Step 3: Cross multiply
    112,200x = 243,092 × 243,092
  4. Step 4: Simplify right side
    112,200x = 59,093,720,464
  5. Step 5: Solve for x
    x = 59,093,720,464/112,200
  6. Step 6: Final answer
    x = 526,682.00

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