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Finding the Third Proportional to 70,526 and 153,914

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Solution

The third proportional to 70,526 and 153,914 is: 335,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,526 : 153,914 = 153,914 : x
  2. Step 2: Convert to fraction form
    70,526/153,914 = 153,914/x
  3. Step 3: Cross multiply
    70,526x = 153,914 × 153,914
  4. Step 4: Simplify right side
    70,526x = 23,689,519,396
  5. Step 5: Solve for x
    x = 23,689,519,396/70,526
  6. Step 6: Final answer
    x = 335,897.67

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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.