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Finding the Third Proportional to 73,226 and 155,038

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Solution

The third proportional to 73,226 and 155,038 is: 328,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 155,038 = 155,038 : x
  2. Step 2: Convert to fraction form
    73,226/155,038 = 155,038/x
  3. Step 3: Cross multiply
    73,226x = 155,038 × 155,038
  4. Step 4: Simplify right side
    73,226x = 24,036,781,444
  5. Step 5: Solve for x
    x = 24,036,781,444/73,226
  6. Step 6: Final answer
    x = 328,254.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.