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Finding the Third Proportional to 53,804 and 125,030

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Solution

The third proportional to 53,804 and 125,030 is: 290,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804 : 125,030 = 125,030 : x
  2. Step 2: Convert to fraction form
    53,804/125,030 = 125,030/x
  3. Step 3: Cross multiply
    53,804x = 125,030 × 125,030
  4. Step 4: Simplify right side
    53,804x = 15,632,500,900
  5. Step 5: Solve for x
    x = 15,632,500,900/53,804
  6. Step 6: Final answer
    x = 290,545.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.