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Finding the Third Proportional to 121,010 and 263,014

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Solution

The third proportional to 121,010 and 263,014 is: 571,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,010 : 263,014 = 263,014 : x
  2. Step 2: Convert to fraction form
    121,010/263,014 = 263,014/x
  3. Step 3: Cross multiply
    121,010x = 263,014 × 263,014
  4. Step 4: Simplify right side
    121,010x = 69,176,364,196
  5. Step 5: Solve for x
    x = 69,176,364,196/121,010
  6. Step 6: Final answer
    x = 571,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.