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Finding the Third Proportional to 44,748 and 93,174

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Solution

The third proportional to 44,748 and 93,174 is: 194,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,748 : 93,174 = 93,174 : x
  2. Step 2: Convert to fraction form
    44,748/93,174 = 93,174/x
  3. Step 3: Cross multiply
    44,748x = 93,174 × 93,174
  4. Step 4: Simplify right side
    44,748x = 8,681,394,276
  5. Step 5: Solve for x
    x = 8,681,394,276/44,748
  6. Step 6: Final answer
    x = 194,006.31

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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.