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Finding the Third Proportional to 112,177 and 243,080

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Solution

The third proportional to 112,177 and 243,080 is: 526,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,177 : 243,080 = 243,080 : x
  2. Step 2: Convert to fraction form
    112,177/243,080 = 243,080/x
  3. Step 3: Cross multiply
    112,177x = 243,080 × 243,080
  4. Step 4: Simplify right side
    112,177x = 59,087,886,400
  5. Step 5: Solve for x
    x = 59,087,886,400/112,177
  6. Step 6: Final answer
    x = 526,737.98

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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.