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Finding the Third Proportional to 42,161.63 and 90,300.38

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Solution

The third proportional to 42,161.63 and 90,300.38 is: 193,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,161.63 : 90,300.38 = 90,300.38 : x
  2. Step 2: Convert to fraction form
    42,161.63/90,300.38 = 90,300.38/x
  3. Step 3: Cross multiply
    42,161.63x = 90,300.38 × 90,300.38
  4. Step 4: Simplify right side
    42,161.63x = 8,154,157,725.14
  5. Step 5: Solve for x
    x = 8,154,157,725.14/42,161.63
  6. Step 6: Final answer
    x = 193,402.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.