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Finding the Third Proportional to 97,500 and 150,570

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Solution

The third proportional to 97,500 and 150,570 is: 232,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500 : 150,570 = 150,570 : x
  2. Step 2: Convert to fraction form
    97,500/150,570 = 150,570/x
  3. Step 3: Cross multiply
    97,500x = 150,570 × 150,570
  4. Step 4: Simplify right side
    97,500x = 22,671,324,900
  5. Step 5: Solve for x
    x = 22,671,324,900/97,500
  6. Step 6: Final answer
    x = 232,526.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.