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Finding the Third Proportional to 127,699 and 259,046

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Solution

The third proportional to 127,699 and 259,046 is: 525,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,699 : 259,046 = 259,046 : x
  2. Step 2: Convert to fraction form
    127,699/259,046 = 259,046/x
  3. Step 3: Cross multiply
    127,699x = 259,046 × 259,046
  4. Step 4: Simplify right side
    127,699x = 67,104,830,116
  5. Step 5: Solve for x
    x = 67,104,830,116/127,699
  6. Step 6: Final answer
    x = 525,492.21

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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.