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Finding the Third Proportional to 38,429 and 84,148

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Solution

The third proportional to 38,429 and 84,148 is: 184,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429 : 84,148 = 84,148 : x
  2. Step 2: Convert to fraction form
    38,429/84,148 = 84,148/x
  3. Step 3: Cross multiply
    38,429x = 84,148 × 84,148
  4. Step 4: Simplify right side
    38,429x = 7,080,885,904
  5. Step 5: Solve for x
    x = 7,080,885,904/38,429
  6. Step 6: Final answer
    x = 184,258.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.