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Finding the Third Proportional to 72,534 and 153,777

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Solution

The third proportional to 72,534 and 153,777 is: 326,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,534 : 153,777 = 153,777 : x
  2. Step 2: Convert to fraction form
    72,534/153,777 = 153,777/x
  3. Step 3: Cross multiply
    72,534x = 153,777 × 153,777
  4. Step 4: Simplify right side
    72,534x = 23,647,365,729
  5. Step 5: Solve for x
    x = 23,647,365,729/72,534
  6. Step 6: Final answer
    x = 326,017.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.