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Finding the Third Proportional to 124,629 and 193,344.19

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Solution

The third proportional to 124,629 and 193,344.19 is: 299,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,629 : 193,344.19 = 193,344.19 : x
  2. Step 2: Convert to fraction form
    124,629/193,344.19 = 193,344.19/x
  3. Step 3: Cross multiply
    124,629x = 193,344.19 × 193,344.19
  4. Step 4: Simplify right side
    124,629x = 37,381,974,840.04
  5. Step 5: Solve for x
    x = 37,381,974,840.04/124,629
  6. Step 6: Final answer
    x = 299,946.04

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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.