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Finding the Third Proportional to 100,926 and 158,341.50

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Solution

The third proportional to 100,926 and 158,341.50 is: 248,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,926 : 158,341.50 = 158,341.50 : x
  2. Step 2: Convert to fraction form
    100,926/158,341.50 = 158,341.50/x
  3. Step 3: Cross multiply
    100,926x = 158,341.50 × 158,341.50
  4. Step 4: Simplify right side
    100,926x = 25,072,030,622.25
  5. Step 5: Solve for x
    x = 25,072,030,622.25/100,926
  6. Step 6: Final answer
    x = 248,419.94

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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.