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Finding the Third Proportional to 133,792.88 and 183,465

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Solution

The third proportional to 133,792.88 and 183,465 is: 251,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,792.88 : 183,465 = 183,465 : x
  2. Step 2: Convert to fraction form
    133,792.88/183,465 = 183,465/x
  3. Step 3: Cross multiply
    133,792.88x = 183,465 × 183,465
  4. Step 4: Simplify right side
    133,792.88x = 33,659,406,225
  5. Step 5: Solve for x
    x = 33,659,406,225/133,792.88
  6. Step 6: Final answer
    x = 251,578.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.