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Finding the Third Proportional to 42,507.19 and 93,093.94

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Solution

The third proportional to 42,507.19 and 93,093.94 is: 203,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507.19 : 93,093.94 = 93,093.94 : x
  2. Step 2: Convert to fraction form
    42,507.19/93,093.94 = 93,093.94/x
  3. Step 3: Cross multiply
    42,507.19x = 93,093.94 × 93,093.94
  4. Step 4: Simplify right side
    42,507.19x = 8,666,481,199.25
  5. Step 5: Solve for x
    x = 8,666,481,199.25/42,507.19
  6. Step 6: Final answer
    x = 203,882.72

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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.