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Finding the Third Proportional to 84,348.75 and 127,394.63

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Solution

The third proportional to 84,348.75 and 127,394.63 is: 192,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,348.75 : 127,394.63 = 127,394.63 : x
  2. Step 2: Convert to fraction form
    84,348.75/127,394.63 = 127,394.63/x
  3. Step 3: Cross multiply
    84,348.75x = 127,394.63 × 127,394.63
  4. Step 4: Simplify right side
    84,348.75x = 16,229,390,478.89
  5. Step 5: Solve for x
    x = 16,229,390,478.89/84,348.75
  6. Step 6: Final answer
    x = 192,408.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.