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Finding the Third Proportional to 98,703.50 and 140,673

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Solution

The third proportional to 98,703.50 and 140,673 is: 200,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,703.50 : 140,673 = 140,673 : x
  2. Step 2: Convert to fraction form
    98,703.50/140,673 = 140,673/x
  3. Step 3: Cross multiply
    98,703.50x = 140,673 × 140,673
  4. Step 4: Simplify right side
    98,703.50x = 19,788,892,929
  5. Step 5: Solve for x
    x = 19,788,892,929/98,703.50
  6. Step 6: Final answer
    x = 200,488.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.