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Finding the Third Proportional to 127,213 and 197,823

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Solution

The third proportional to 127,213 and 197,823 is: 307,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,213 : 197,823 = 197,823 : x
  2. Step 2: Convert to fraction form
    127,213/197,823 = 197,823/x
  3. Step 3: Cross multiply
    127,213x = 197,823 × 197,823
  4. Step 4: Simplify right side
    127,213x = 39,133,939,329
  5. Step 5: Solve for x
    x = 39,133,939,329/127,213
  6. Step 6: Final answer
    x = 307,625.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.