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Finding the Third Proportional to 78,112 and 124,208

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Solution

The third proportional to 78,112 and 124,208 is: 197,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112 : 124,208 = 124,208 : x
  2. Step 2: Convert to fraction form
    78,112/124,208 = 124,208/x
  3. Step 3: Cross multiply
    78,112x = 124,208 × 124,208
  4. Step 4: Simplify right side
    78,112x = 15,427,627,264
  5. Step 5: Solve for x
    x = 15,427,627,264/78,112
  6. Step 6: Final answer
    x = 197,506.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.