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Finding the Third Proportional to 45,938 and 70,905

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Solution

The third proportional to 45,938 and 70,905 is: 109,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,938 : 70,905 = 70,905 : x
  2. Step 2: Convert to fraction form
    45,938/70,905 = 70,905/x
  3. Step 3: Cross multiply
    45,938x = 70,905 × 70,905
  4. Step 4: Simplify right side
    45,938x = 5,027,519,025
  5. Step 5: Solve for x
    x = 5,027,519,025/45,938
  6. Step 6: Final answer
    x = 109,441.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.