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Finding the Third Proportional to 121,060 and 266,008

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Solution

The third proportional to 121,060 and 266,008 is: 584,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,060 : 266,008 = 266,008 : x
  2. Step 2: Convert to fraction form
    121,060/266,008 = 266,008/x
  3. Step 3: Cross multiply
    121,060x = 266,008 × 266,008
  4. Step 4: Simplify right side
    121,060x = 70,760,256,064
  5. Step 5: Solve for x
    x = 70,760,256,064/121,060
  6. Step 6: Final answer
    x = 584,505.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.