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Finding the Third Proportional to 124,218 and 193,707

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Solution

The third proportional to 124,218 and 193,707 is: 302,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,218 : 193,707 = 193,707 : x
  2. Step 2: Convert to fraction form
    124,218/193,707 = 193,707/x
  3. Step 3: Cross multiply
    124,218x = 193,707 × 193,707
  4. Step 4: Simplify right side
    124,218x = 37,522,401,849
  5. Step 5: Solve for x
    x = 37,522,401,849/124,218
  6. Step 6: Final answer
    x = 302,068.96

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Why These Related Problems?

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