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Finding the Third Proportional to 100,775.25 and 152,465.50

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Solution

The third proportional to 100,775.25 and 152,465.50 is: 230,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.25 : 152,465.50 = 152,465.50 : x
  2. Step 2: Convert to fraction form
    100,775.25/152,465.50 = 152,465.50/x
  3. Step 3: Cross multiply
    100,775.25x = 152,465.50 × 152,465.50
  4. Step 4: Simplify right side
    100,775.25x = 23,245,728,690.25
  5. Step 5: Solve for x
    x = 23,245,728,690.25/100,775.25
  6. Step 6: Final answer
    x = 230,669.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.