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Finding the Third Proportional to 53,946 and 117,726

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Solution

The third proportional to 53,946 and 117,726 is: 256,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,946 : 117,726 = 117,726 : x
  2. Step 2: Convert to fraction form
    53,946/117,726 = 117,726/x
  3. Step 3: Cross multiply
    53,946x = 117,726 × 117,726
  4. Step 4: Simplify right side
    53,946x = 13,859,411,076
  5. Step 5: Solve for x
    x = 13,859,411,076/53,946
  6. Step 6: Final answer
    x = 256,912.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.