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Finding the Third Proportional to 105,076 and 228,013

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Solution

The third proportional to 105,076 and 228,013 is: 494,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076 : 228,013 = 228,013 : x
  2. Step 2: Convert to fraction form
    105,076/228,013 = 228,013/x
  3. Step 3: Cross multiply
    105,076x = 228,013 × 228,013
  4. Step 4: Simplify right side
    105,076x = 51,989,928,169
  5. Step 5: Solve for x
    x = 51,989,928,169/105,076
  6. Step 6: Final answer
    x = 494,784.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.