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Finding the Third Proportional to 125,053 and 273,064

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Solution

The third proportional to 125,053 and 273,064 is: 596,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,053 : 273,064 = 273,064 : x
  2. Step 2: Convert to fraction form
    125,053/273,064 = 273,064/x
  3. Step 3: Cross multiply
    125,053x = 273,064 × 273,064
  4. Step 4: Simplify right side
    125,053x = 74,563,948,096
  5. Step 5: Solve for x
    x = 74,563,948,096/125,053
  6. Step 6: Final answer
    x = 596,258.77

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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.