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Finding the Third Proportional to 122,492 and 183,740

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Solution

The third proportional to 122,492 and 183,740 is: 275,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492 : 183,740 = 183,740 : x
  2. Step 2: Convert to fraction form
    122,492/183,740 = 183,740/x
  3. Step 3: Cross multiply
    122,492x = 183,740 × 183,740
  4. Step 4: Simplify right side
    122,492x = 33,760,387,600
  5. Step 5: Solve for x
    x = 33,760,387,600/122,492
  6. Step 6: Final answer
    x = 275,613.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.