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Finding the Third Proportional to 45,838 and 102,038

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Solution

The third proportional to 45,838 and 102,038 is: 227,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,838 : 102,038 = 102,038 : x
  2. Step 2: Convert to fraction form
    45,838/102,038 = 102,038/x
  3. Step 3: Cross multiply
    45,838x = 102,038 × 102,038
  4. Step 4: Simplify right side
    45,838x = 10,411,753,444
  5. Step 5: Solve for x
    x = 10,411,753,444/45,838
  6. Step 6: Final answer
    x = 227,142.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.