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Finding the Third Proportional to 96,741 and 146,572

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Solution

The third proportional to 96,741 and 146,572 is: 222,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741 : 146,572 = 146,572 : x
  2. Step 2: Convert to fraction form
    96,741/146,572 = 146,572/x
  3. Step 3: Cross multiply
    96,741x = 146,572 × 146,572
  4. Step 4: Simplify right side
    96,741x = 21,483,351,184
  5. Step 5: Solve for x
    x = 21,483,351,184/96,741
  6. Step 6: Final answer
    x = 222,070.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.