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Finding the Third Proportional to 106,590 and 156,429

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Solution

The third proportional to 106,590 and 156,429 is: 229,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,590 : 156,429 = 156,429 : x
  2. Step 2: Convert to fraction form
    106,590/156,429 = 156,429/x
  3. Step 3: Cross multiply
    106,590x = 156,429 × 156,429
  4. Step 4: Simplify right side
    106,590x = 24,470,032,041
  5. Step 5: Solve for x
    x = 24,470,032,041/106,590
  6. Step 6: Final answer
    x = 229,571.55

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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.