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Finding the Third Proportional to 106,038 and 155,875

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Solution

The third proportional to 106,038 and 155,875 is: 229,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038 : 155,875 = 155,875 : x
  2. Step 2: Convert to fraction form
    106,038/155,875 = 155,875/x
  3. Step 3: Cross multiply
    106,038x = 155,875 × 155,875
  4. Step 4: Simplify right side
    106,038x = 24,297,015,625
  5. Step 5: Solve for x
    x = 24,297,015,625/106,038
  6. Step 6: Final answer
    x = 229,134.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.