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Finding the Third Proportional to 105,975 and 148,523

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Solution

The third proportional to 105,975 and 148,523 is: 208,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,975 : 148,523 = 148,523 : x
  2. Step 2: Convert to fraction form
    105,975/148,523 = 148,523/x
  3. Step 3: Cross multiply
    105,975x = 148,523 × 148,523
  4. Step 4: Simplify right side
    105,975x = 22,059,081,529
  5. Step 5: Solve for x
    x = 22,059,081,529/105,975
  6. Step 6: Final answer
    x = 208,153.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.