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Finding the Third Proportional to 125,054 and 273,068

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Solution

The third proportional to 125,054 and 273,068 is: 596,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,054 : 273,068 = 273,068 : x
  2. Step 2: Convert to fraction form
    125,054/273,068 = 273,068/x
  3. Step 3: Cross multiply
    125,054x = 273,068 × 273,068
  4. Step 4: Simplify right side
    125,054x = 74,566,132,624
  5. Step 5: Solve for x
    x = 74,566,132,624/125,054
  6. Step 6: Final answer
    x = 596,271.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.