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Finding the Third Proportional to 106,004 and 143,454

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Solution

The third proportional to 106,004 and 143,454 is: 194,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,004 : 143,454 = 143,454 : x
  2. Step 2: Convert to fraction form
    106,004/143,454 = 143,454/x
  3. Step 3: Cross multiply
    106,004x = 143,454 × 143,454
  4. Step 4: Simplify right side
    106,004x = 20,579,050,116
  5. Step 5: Solve for x
    x = 20,579,050,116/106,004
  6. Step 6: Final answer
    x = 194,134.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.