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Finding the Third Proportional to 124,639 and 193,361

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Solution

The third proportional to 124,639 and 193,361 is: 299,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,639 : 193,361 = 193,361 : x
  2. Step 2: Convert to fraction form
    124,639/193,361 = 193,361/x
  3. Step 3: Cross multiply
    124,639x = 193,361 × 193,361
  4. Step 4: Simplify right side
    124,639x = 37,388,476,321
  5. Step 5: Solve for x
    x = 37,388,476,321/124,639
  6. Step 6: Final answer
    x = 299,974.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.