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Finding the Third Proportional to 133,264.69 and 190,569.94

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Solution

The third proportional to 133,264.69 and 190,569.94 is: 272,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,264.69 : 190,569.94 = 190,569.94 : x
  2. Step 2: Convert to fraction form
    133,264.69/190,569.94 = 190,569.94/x
  3. Step 3: Cross multiply
    133,264.69x = 190,569.94 × 190,569.94
  4. Step 4: Simplify right side
    133,264.69x = 36,316,901,078.75
  5. Step 5: Solve for x
    x = 36,316,901,078.75/133,264.69
  6. Step 6: Final answer
    x = 272,517.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.