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Finding the Third Proportional to 69,575 and 151,570

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Solution

The third proportional to 69,575 and 151,570 is: 330,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,575 : 151,570 = 151,570 : x
  2. Step 2: Convert to fraction form
    69,575/151,570 = 151,570/x
  3. Step 3: Cross multiply
    69,575x = 151,570 × 151,570
  4. Step 4: Simplify right side
    69,575x = 22,973,464,900
  5. Step 5: Solve for x
    x = 22,973,464,900/69,575
  6. Step 6: Final answer
    x = 330,197.12

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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.