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Finding the Third Proportional to 74,409.75 and 111,784.50

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Solution

The third proportional to 74,409.75 and 111,784.50 is: 167,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,409.75 : 111,784.50 = 111,784.50 : x
  2. Step 2: Convert to fraction form
    74,409.75/111,784.50 = 111,784.50/x
  3. Step 3: Cross multiply
    74,409.75x = 111,784.50 × 111,784.50
  4. Step 4: Simplify right side
    74,409.75x = 12,495,774,440.25
  5. Step 5: Solve for x
    x = 12,495,774,440.25/74,409.75
  6. Step 6: Final answer
    x = 167,931.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.