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Finding the Third Proportional to 127,030 and 274,148

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Solution

The third proportional to 127,030 and 274,148 is: 591,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,030 : 274,148 = 274,148 : x
  2. Step 2: Convert to fraction form
    127,030/274,148 = 274,148/x
  3. Step 3: Cross multiply
    127,030x = 274,148 × 274,148
  4. Step 4: Simplify right side
    127,030x = 75,157,125,904
  5. Step 5: Solve for x
    x = 75,157,125,904/127,030
  6. Step 6: Final answer
    x = 591,648.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.