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Finding the Third Proportional to 101,127 and 224,700

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Solution

The third proportional to 101,127 and 224,700 is: 499,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,127 : 224,700 = 224,700 : x
  2. Step 2: Convert to fraction form
    101,127/224,700 = 224,700/x
  3. Step 3: Cross multiply
    101,127x = 224,700 × 224,700
  4. Step 4: Simplify right side
    101,127x = 50,490,090,000
  5. Step 5: Solve for x
    x = 50,490,090,000/101,127
  6. Step 6: Final answer
    x = 499,274.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.