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Finding the Third Proportional to 102,151.13 and 237,380.63

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Solution

The third proportional to 102,151.13 and 237,380.63 is: 551,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151.13 : 237,380.63 = 237,380.63 : x
  2. Step 2: Convert to fraction form
    102,151.13/237,380.63 = 237,380.63/x
  3. Step 3: Cross multiply
    102,151.13x = 237,380.63 × 237,380.63
  4. Step 4: Simplify right side
    102,151.13x = 56,349,561,125.39
  5. Step 5: Solve for x
    x = 56,349,561,125.39/102,151.13
  6. Step 6: Final answer
    x = 551,629.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.