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Finding the Third Proportional to 125,884 and 272,504

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Solution

The third proportional to 125,884 and 272,504 is: 589,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,884 : 272,504 = 272,504 : x
  2. Step 2: Convert to fraction form
    125,884/272,504 = 272,504/x
  3. Step 3: Cross multiply
    125,884x = 272,504 × 272,504
  4. Step 4: Simplify right side
    125,884x = 74,258,430,016
  5. Step 5: Solve for x
    x = 74,258,430,016/125,884
  6. Step 6: Final answer
    x = 589,895.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.