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Finding the Third Proportional to 84,242 and 180,148

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Solution

The third proportional to 84,242 and 180,148 is: 385,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242 : 180,148 = 180,148 : x
  2. Step 2: Convert to fraction form
    84,242/180,148 = 180,148/x
  3. Step 3: Cross multiply
    84,242x = 180,148 × 180,148
  4. Step 4: Simplify right side
    84,242x = 32,453,301,904
  5. Step 5: Solve for x
    x = 32,453,301,904/84,242
  6. Step 6: Final answer
    x = 385,238.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.