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Finding the Third Proportional to 127,683 and 259,014

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Solution

The third proportional to 127,683 and 259,014 is: 525,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,683 : 259,014 = 259,014 : x
  2. Step 2: Convert to fraction form
    127,683/259,014 = 259,014/x
  3. Step 3: Cross multiply
    127,683x = 259,014 × 259,014
  4. Step 4: Simplify right side
    127,683x = 67,088,252,196
  5. Step 5: Solve for x
    x = 67,088,252,196/127,683
  6. Step 6: Final answer
    x = 525,428.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.