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Finding the Third Proportional to 57,312 and 122,004

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Solution

The third proportional to 57,312 and 122,004 is: 259,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,312 : 122,004 = 122,004 : x
  2. Step 2: Convert to fraction form
    57,312/122,004 = 122,004/x
  3. Step 3: Cross multiply
    57,312x = 122,004 × 122,004
  4. Step 4: Simplify right side
    57,312x = 14,884,976,016
  5. Step 5: Solve for x
    x = 14,884,976,016/57,312
  6. Step 6: Final answer
    x = 259,718.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.