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Finding the Third Proportional to 125,294 and 273,207

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Solution

The third proportional to 125,294 and 273,207 is: 595,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294 : 273,207 = 273,207 : x
  2. Step 2: Convert to fraction form
    125,294/273,207 = 273,207/x
  3. Step 3: Cross multiply
    125,294x = 273,207 × 273,207
  4. Step 4: Simplify right side
    125,294x = 74,642,064,849
  5. Step 5: Solve for x
    x = 74,642,064,849/125,294
  6. Step 6: Final answer
    x = 595,735.35

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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.