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Finding the Third Proportional to 123,164 and 266,572

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Solution

The third proportional to 123,164 and 266,572 is: 576,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,164 : 266,572 = 266,572 : x
  2. Step 2: Convert to fraction form
    123,164/266,572 = 266,572/x
  3. Step 3: Cross multiply
    123,164x = 266,572 × 266,572
  4. Step 4: Simplify right side
    123,164x = 71,060,631,184
  5. Step 5: Solve for x
    x = 71,060,631,184/123,164
  6. Step 6: Final answer
    x = 576,959.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.