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Finding the Third Proportional to 113,062 and 178,989

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Solution

The third proportional to 113,062 and 178,989 is: 283,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,062 : 178,989 = 178,989 : x
  2. Step 2: Convert to fraction form
    113,062/178,989 = 178,989/x
  3. Step 3: Cross multiply
    113,062x = 178,989 × 178,989
  4. Step 4: Simplify right side
    113,062x = 32,037,062,121
  5. Step 5: Solve for x
    x = 32,037,062,121/113,062
  6. Step 6: Final answer
    x = 283,358.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.