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Finding the Third Proportional to 101,356.50 and 158,997

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Solution

The third proportional to 101,356.50 and 158,997 is: 249,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,356.50 : 158,997 = 158,997 : x
  2. Step 2: Convert to fraction form
    101,356.50/158,997 = 158,997/x
  3. Step 3: Cross multiply
    101,356.50x = 158,997 × 158,997
  4. Step 4: Simplify right side
    101,356.50x = 25,280,046,009
  5. Step 5: Solve for x
    x = 25,280,046,009/101,356.50
  6. Step 6: Final answer
    x = 249,417.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.