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Finding the Third Proportional to 94,754 and 200,740

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Solution

The third proportional to 94,754 and 200,740 is: 425,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,754 : 200,740 = 200,740 : x
  2. Step 2: Convert to fraction form
    94,754/200,740 = 200,740/x
  3. Step 3: Cross multiply
    94,754x = 200,740 × 200,740
  4. Step 4: Simplify right side
    94,754x = 40,296,547,600
  5. Step 5: Solve for x
    x = 40,296,547,600/94,754
  6. Step 6: Final answer
    x = 425,275.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.