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Finding the Third Proportional to 42,438 and 93,036

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Solution

The third proportional to 42,438 and 93,036 is: 203,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,438 : 93,036 = 93,036 : x
  2. Step 2: Convert to fraction form
    42,438/93,036 = 93,036/x
  3. Step 3: Cross multiply
    42,438x = 93,036 × 93,036
  4. Step 4: Simplify right side
    42,438x = 8,655,697,296
  5. Step 5: Solve for x
    x = 8,655,697,296/42,438
  6. Step 6: Final answer
    x = 203,961.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.