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Finding the Third Proportional to 113,946 and 183,069

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Solution

The third proportional to 113,946 and 183,069 is: 294,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,946 : 183,069 = 183,069 : x
  2. Step 2: Convert to fraction form
    113,946/183,069 = 183,069/x
  3. Step 3: Cross multiply
    113,946x = 183,069 × 183,069
  4. Step 4: Simplify right side
    113,946x = 33,514,258,761
  5. Step 5: Solve for x
    x = 33,514,258,761/113,946
  6. Step 6: Final answer
    x = 294,124.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.