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Finding the Third Proportional to 72,705 and 158,942

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Solution

The third proportional to 72,705 and 158,942 is: 347,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705 : 158,942 = 158,942 : x
  2. Step 2: Convert to fraction form
    72,705/158,942 = 158,942/x
  3. Step 3: Cross multiply
    72,705x = 158,942 × 158,942
  4. Step 4: Simplify right side
    72,705x = 25,262,559,364
  5. Step 5: Solve for x
    x = 25,262,559,364/72,705
  6. Step 6: Final answer
    x = 347,466.60

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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.