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Finding the Third Proportional to 67,512 and 147,730.50

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Solution

The third proportional to 67,512 and 147,730.50 is: 323,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,512 : 147,730.50 = 147,730.50 : x
  2. Step 2: Convert to fraction form
    67,512/147,730.50 = 147,730.50/x
  3. Step 3: Cross multiply
    67,512x = 147,730.50 × 147,730.50
  4. Step 4: Simplify right side
    67,512x = 21,824,300,630.25
  5. Step 5: Solve for x
    x = 21,824,300,630.25/67,512
  6. Step 6: Final answer
    x = 323,265.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.