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Finding the Third Proportional to 94,597 and 200,724

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Solution

The third proportional to 94,597 and 200,724 is: 425,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,597 : 200,724 = 200,724 : x
  2. Step 2: Convert to fraction form
    94,597/200,724 = 200,724/x
  3. Step 3: Cross multiply
    94,597x = 200,724 × 200,724
  4. Step 4: Simplify right side
    94,597x = 40,290,124,176
  5. Step 5: Solve for x
    x = 40,290,124,176/94,597
  6. Step 6: Final answer
    x = 425,913.34

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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.