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Finding the Third Proportional to 131,511 and 188,047.50

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Solution

The third proportional to 131,511 and 188,047.50 is: 268,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,511 : 188,047.50 = 188,047.50 : x
  2. Step 2: Convert to fraction form
    131,511/188,047.50 = 188,047.50/x
  3. Step 3: Cross multiply
    131,511x = 188,047.50 × 188,047.50
  4. Step 4: Simplify right side
    131,511x = 35,361,862,256.25
  5. Step 5: Solve for x
    x = 35,361,862,256.25/131,511
  6. Step 6: Final answer
    x = 268,889.01

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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.