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Finding the Third Proportional to 96,990 and 150,528

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Solution

The third proportional to 96,990 and 150,528 is: 233,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,990 : 150,528 = 150,528 : x
  2. Step 2: Convert to fraction form
    96,990/150,528 = 150,528/x
  3. Step 3: Cross multiply
    96,990x = 150,528 × 150,528
  4. Step 4: Simplify right side
    96,990x = 22,658,678,784
  5. Step 5: Solve for x
    x = 22,658,678,784/96,990
  6. Step 6: Final answer
    x = 233,618.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.