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Finding the Third Proportional to 117,088 and 251,960

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Solution

The third proportional to 117,088 and 251,960 is: 542,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,088 : 251,960 = 251,960 : x
  2. Step 2: Convert to fraction form
    117,088/251,960 = 251,960/x
  3. Step 3: Cross multiply
    117,088x = 251,960 × 251,960
  4. Step 4: Simplify right side
    117,088x = 63,483,841,600
  5. Step 5: Solve for x
    x = 63,483,841,600/117,088
  6. Step 6: Final answer
    x = 542,189.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.