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Finding the Third Proportional to 121,710 and 262,146

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Solution

The third proportional to 121,710 and 262,146 is: 564,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,710 : 262,146 = 262,146 : x
  2. Step 2: Convert to fraction form
    121,710/262,146 = 262,146/x
  3. Step 3: Cross multiply
    121,710x = 262,146 × 262,146
  4. Step 4: Simplify right side
    121,710x = 68,720,525,316
  5. Step 5: Solve for x
    x = 68,720,525,316/121,710
  6. Step 6: Final answer
    x = 564,625.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.