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Finding the Third Proportional to 122,084.25 and 183,001.50

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Solution

The third proportional to 122,084.25 and 183,001.50 is: 274,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,084.25 : 183,001.50 = 183,001.50 : x
  2. Step 2: Convert to fraction form
    122,084.25/183,001.50 = 183,001.50/x
  3. Step 3: Cross multiply
    122,084.25x = 183,001.50 × 183,001.50
  4. Step 4: Simplify right side
    122,084.25x = 33,489,549,002.25
  5. Step 5: Solve for x
    x = 33,489,549,002.25/122,084.25
  6. Step 6: Final answer
    x = 274,315.07

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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.