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Finding the Third Proportional to 117,580 and 180,168

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Solution

The third proportional to 117,580 and 180,168 is: 276,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,580 : 180,168 = 180,168 : x
  2. Step 2: Convert to fraction form
    117,580/180,168 = 180,168/x
  3. Step 3: Cross multiply
    117,580x = 180,168 × 180,168
  4. Step 4: Simplify right side
    117,580x = 32,460,508,224
  5. Step 5: Solve for x
    x = 32,460,508,224/117,580
  6. Step 6: Final answer
    x = 276,071.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.