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Finding the Third Proportional to 106,043.63 and 155,501.44

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Solution

The third proportional to 106,043.63 and 155,501.44 is: 228,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.63 : 155,501.44 = 155,501.44 : x
  2. Step 2: Convert to fraction form
    106,043.63/155,501.44 = 155,501.44/x
  3. Step 3: Cross multiply
    106,043.63x = 155,501.44 × 155,501.44
  4. Step 4: Simplify right side
    106,043.63x = 24,180,697,064.57
  5. Step 5: Solve for x
    x = 24,180,697,064.57/106,043.63
  6. Step 6: Final answer
    x = 228,025.94

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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.