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Finding the Third Proportional to 103,472.44 and 148,237.59

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Solution

The third proportional to 103,472.44 and 148,237.59 is: 212,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472.44 : 148,237.59 = 148,237.59 : x
  2. Step 2: Convert to fraction form
    103,472.44/148,237.59 = 148,237.59/x
  3. Step 3: Cross multiply
    103,472.44x = 148,237.59 × 148,237.59
  4. Step 4: Simplify right side
    103,472.44x = 21,974,384,200.79
  5. Step 5: Solve for x
    x = 21,974,384,200.79/103,472.44
  6. Step 6: Final answer
    x = 212,369.45

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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.