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Finding the Third Proportional to 125,024 and 273,784

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Solution

The third proportional to 125,024 and 273,784 is: 599,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,024 : 273,784 = 273,784 : x
  2. Step 2: Convert to fraction form
    125,024/273,784 = 273,784/x
  3. Step 3: Cross multiply
    125,024x = 273,784 × 273,784
  4. Step 4: Simplify right side
    125,024x = 74,957,678,656
  5. Step 5: Solve for x
    x = 74,957,678,656/125,024
  6. Step 6: Final answer
    x = 599,546.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.