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Finding the Third Proportional to 103,077 and 147,007.50

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Solution

The third proportional to 103,077 and 147,007.50 is: 209,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,077 : 147,007.50 = 147,007.50 : x
  2. Step 2: Convert to fraction form
    103,077/147,007.50 = 147,007.50/x
  3. Step 3: Cross multiply
    103,077x = 147,007.50 × 147,007.50
  4. Step 4: Simplify right side
    103,077x = 21,611,205,056.25
  5. Step 5: Solve for x
    x = 21,611,205,056.25/103,077
  6. Step 6: Final answer
    x = 209,660.79

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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.