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Finding the Third Proportional to 100,943 and 147,032.75

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Solution

The third proportional to 100,943 and 147,032.75 is: 214,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,943 : 147,032.75 = 147,032.75 : x
  2. Step 2: Convert to fraction form
    100,943/147,032.75 = 147,032.75/x
  3. Step 3: Cross multiply
    100,943x = 147,032.75 × 147,032.75
  4. Step 4: Simplify right side
    100,943x = 21,618,629,572.56
  5. Step 5: Solve for x
    x = 21,618,629,572.56/100,943
  6. Step 6: Final answer
    x = 214,166.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.