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Finding the Third Proportional to 127,688 and 259,024

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Solution

The third proportional to 127,688 and 259,024 is: 525,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,688 : 259,024 = 259,024 : x
  2. Step 2: Convert to fraction form
    127,688/259,024 = 259,024/x
  3. Step 3: Cross multiply
    127,688x = 259,024 × 259,024
  4. Step 4: Simplify right side
    127,688x = 67,093,432,576
  5. Step 5: Solve for x
    x = 67,093,432,576/127,688
  6. Step 6: Final answer
    x = 525,448.22

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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.