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Finding the Third Proportional to 97,534 and 150,352

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Solution

The third proportional to 97,534 and 150,352 is: 231,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,534 : 150,352 = 150,352 : x
  2. Step 2: Convert to fraction form
    97,534/150,352 = 150,352/x
  3. Step 3: Cross multiply
    97,534x = 150,352 × 150,352
  4. Step 4: Simplify right side
    97,534x = 22,605,723,904
  5. Step 5: Solve for x
    x = 22,605,723,904/97,534
  6. Step 6: Final answer
    x = 231,772.76

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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.