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Finding the Third Proportional to 44,784 and 93,252

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Solution

The third proportional to 44,784 and 93,252 is: 194,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,784 : 93,252 = 93,252 : x
  2. Step 2: Convert to fraction form
    44,784/93,252 = 93,252/x
  3. Step 3: Cross multiply
    44,784x = 93,252 × 93,252
  4. Step 4: Simplify right side
    44,784x = 8,695,935,504
  5. Step 5: Solve for x
    x = 8,695,935,504/44,784
  6. Step 6: Final answer
    x = 194,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.