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Finding the Third Proportional to 103,506.75 and 151,852.50

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Solution

The third proportional to 103,506.75 and 151,852.50 is: 222,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506.75 : 151,852.50 = 151,852.50 : x
  2. Step 2: Convert to fraction form
    103,506.75/151,852.50 = 151,852.50/x
  3. Step 3: Cross multiply
    103,506.75x = 151,852.50 × 151,852.50
  4. Step 4: Simplify right side
    103,506.75x = 23,059,181,756.25
  5. Step 5: Solve for x
    x = 23,059,181,756.25/103,506.75
  6. Step 6: Final answer
    x = 222,779.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.