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Finding the Third Proportional to 125,724 and 173,010

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Solution

The third proportional to 125,724 and 173,010 is: 238,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,724 : 173,010 = 173,010 : x
  2. Step 2: Convert to fraction form
    125,724/173,010 = 173,010/x
  3. Step 3: Cross multiply
    125,724x = 173,010 × 173,010
  4. Step 4: Simplify right side
    125,724x = 29,932,460,100
  5. Step 5: Solve for x
    x = 29,932,460,100/125,724
  6. Step 6: Final answer
    x = 238,080.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.