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Finding the Third Proportional to 125,602 and 273,020

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Solution

The third proportional to 125,602 and 273,020 is: 593,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,602 : 273,020 = 273,020 : x
  2. Step 2: Convert to fraction form
    125,602/273,020 = 273,020/x
  3. Step 3: Cross multiply
    125,602x = 273,020 × 273,020
  4. Step 4: Simplify right side
    125,602x = 74,539,920,400
  5. Step 5: Solve for x
    x = 74,539,920,400/125,602
  6. Step 6: Final answer
    x = 593,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.