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Finding the Third Proportional to 126,172 and 266,560

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Solution

The third proportional to 126,172 and 266,560 is: 563,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,172 : 266,560 = 266,560 : x
  2. Step 2: Convert to fraction form
    126,172/266,560 = 266,560/x
  3. Step 3: Cross multiply
    126,172x = 266,560 × 266,560
  4. Step 4: Simplify right side
    126,172x = 71,054,233,600
  5. Step 5: Solve for x
    x = 71,054,233,600/126,172
  6. Step 6: Final answer
    x = 563,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.