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Finding the Third Proportional to 125,643 and 273,447

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Solution

The third proportional to 125,643 and 273,447 is: 595,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,643 : 273,447 = 273,447 : x
  2. Step 2: Convert to fraction form
    125,643/273,447 = 273,447/x
  3. Step 3: Cross multiply
    125,643x = 273,447 × 273,447
  4. Step 4: Simplify right side
    125,643x = 74,773,261,809
  5. Step 5: Solve for x
    x = 74,773,261,809/125,643
  6. Step 6: Final answer
    x = 595,124.77

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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.