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Finding the Third Proportional to 103,825.50 and 148,470

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Solution

The third proportional to 103,825.50 and 148,470 is: 212,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.50 : 148,470 = 148,470 : x
  2. Step 2: Convert to fraction form
    103,825.50/148,470 = 148,470/x
  3. Step 3: Cross multiply
    103,825.50x = 148,470 × 148,470
  4. Step 4: Simplify right side
    103,825.50x = 22,043,340,900
  5. Step 5: Solve for x
    x = 22,043,340,900/103,825.50
  6. Step 6: Final answer
    x = 212,311.44

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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.