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Finding the Third Proportional to 103,830.75 and 148,475.25

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Solution

The third proportional to 103,830.75 and 148,475.25 is: 212,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830.75 : 148,475.25 = 148,475.25 : x
  2. Step 2: Convert to fraction form
    103,830.75/148,475.25 = 148,475.25/x
  3. Step 3: Cross multiply
    103,830.75x = 148,475.25 × 148,475.25
  4. Step 4: Simplify right side
    103,830.75x = 22,044,899,862.56
  5. Step 5: Solve for x
    x = 22,044,899,862.56/103,830.75
  6. Step 6: Final answer
    x = 212,315.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.