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Finding the Third Proportional to 42,655 and 93,074

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Solution

The third proportional to 42,655 and 93,074 is: 203,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,655 : 93,074 = 93,074 : x
  2. Step 2: Convert to fraction form
    42,655/93,074 = 93,074/x
  3. Step 3: Cross multiply
    42,655x = 93,074 × 93,074
  4. Step 4: Simplify right side
    42,655x = 8,662,769,476
  5. Step 5: Solve for x
    x = 8,662,769,476/42,655
  6. Step 6: Final answer
    x = 203,089.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.