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Finding the Third Proportional to 100,874.50 and 148,391

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Solution

The third proportional to 100,874.50 and 148,391 is: 218,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,874.50 : 148,391 = 148,391 : x
  2. Step 2: Convert to fraction form
    100,874.50/148,391 = 148,391/x
  3. Step 3: Cross multiply
    100,874.50x = 148,391 × 148,391
  4. Step 4: Simplify right side
    100,874.50x = 22,019,888,881
  5. Step 5: Solve for x
    x = 22,019,888,881/100,874.50
  6. Step 6: Final answer
    x = 218,289.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.