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Finding the Third Proportional to 123,924 and 192,160

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Solution

The third proportional to 123,924 and 192,160 is: 297,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,924 : 192,160 = 192,160 : x
  2. Step 2: Convert to fraction form
    123,924/192,160 = 192,160/x
  3. Step 3: Cross multiply
    123,924x = 192,160 × 192,160
  4. Step 4: Simplify right side
    123,924x = 36,925,465,600
  5. Step 5: Solve for x
    x = 36,925,465,600/123,924
  6. Step 6: Final answer
    x = 297,968.64

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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.