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Finding the Third Proportional to 94,905 and 192,537

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Solution

The third proportional to 94,905 and 192,537 is: 390,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,905 : 192,537 = 192,537 : x
  2. Step 2: Convert to fraction form
    94,905/192,537 = 192,537/x
  3. Step 3: Cross multiply
    94,905x = 192,537 × 192,537
  4. Step 4: Simplify right side
    94,905x = 37,070,496,369
  5. Step 5: Solve for x
    x = 37,070,496,369/94,905
  6. Step 6: Final answer
    x = 390,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.