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Finding the Third Proportional to 65,946 and 159,534

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Solution

The third proportional to 65,946 and 159,534 is: 385,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,946 : 159,534 = 159,534 : x
  2. Step 2: Convert to fraction form
    65,946/159,534 = 159,534/x
  3. Step 3: Cross multiply
    65,946x = 159,534 × 159,534
  4. Step 4: Simplify right side
    65,946x = 25,451,097,156
  5. Step 5: Solve for x
    x = 25,451,097,156/65,946
  6. Step 6: Final answer
    x = 385,938.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.