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Finding the Third Proportional to 42,926 and 94,574

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Solution

The third proportional to 42,926 and 94,574 is: 208,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926 : 94,574 = 94,574 : x
  2. Step 2: Convert to fraction form
    42,926/94,574 = 94,574/x
  3. Step 3: Cross multiply
    42,926x = 94,574 × 94,574
  4. Step 4: Simplify right side
    42,926x = 8,944,241,476
  5. Step 5: Solve for x
    x = 8,944,241,476/42,926
  6. Step 6: Final answer
    x = 208,364.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.