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Finding the Third Proportional to 124,803 and 201,051

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Solution

The third proportional to 124,803 and 201,051 is: 323,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,803 : 201,051 = 201,051 : x
  2. Step 2: Convert to fraction form
    124,803/201,051 = 201,051/x
  3. Step 3: Cross multiply
    124,803x = 201,051 × 201,051
  4. Step 4: Simplify right side
    124,803x = 40,421,504,601
  5. Step 5: Solve for x
    x = 40,421,504,601/124,803
  6. Step 6: Final answer
    x = 323,882.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.