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Finding the Third Proportional to 121,114 and 264,024

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Solution

The third proportional to 121,114 and 264,024 is: 575,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114 : 264,024 = 264,024 : x
  2. Step 2: Convert to fraction form
    121,114/264,024 = 264,024/x
  3. Step 3: Cross multiply
    121,114x = 264,024 × 264,024
  4. Step 4: Simplify right side
    121,114x = 69,708,672,576
  5. Step 5: Solve for x
    x = 69,708,672,576/121,114
  6. Step 6: Final answer
    x = 575,562.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.