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Finding the Third Proportional to 93,675 and 143,641.50

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Solution

The third proportional to 93,675 and 143,641.50 is: 220,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,675 : 143,641.50 = 143,641.50 : x
  2. Step 2: Convert to fraction form
    93,675/143,641.50 = 143,641.50/x
  3. Step 3: Cross multiply
    93,675x = 143,641.50 × 143,641.50
  4. Step 4: Simplify right side
    93,675x = 20,632,880,522.25
  5. Step 5: Solve for x
    x = 20,632,880,522.25/93,675
  6. Step 6: Final answer
    x = 220,260.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.