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Finding the Third Proportional to 39,213 and 93,172.50

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Solution

The third proportional to 39,213 and 93,172.50 is: 221,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,213 : 93,172.50 = 93,172.50 : x
  2. Step 2: Convert to fraction form
    39,213/93,172.50 = 93,172.50/x
  3. Step 3: Cross multiply
    39,213x = 93,172.50 × 93,172.50
  4. Step 4: Simplify right side
    39,213x = 8,681,114,756.25
  5. Step 5: Solve for x
    x = 8,681,114,756.25/39,213
  6. Step 6: Final answer
    x = 221,383.59

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.