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Finding the Third Proportional to 93,578.63 and 143,982.38

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Solution

The third proportional to 93,578.63 and 143,982.38 is: 221,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,578.63 : 143,982.38 = 143,982.38 : x
  2. Step 2: Convert to fraction form
    93,578.63/143,982.38 = 143,982.38/x
  3. Step 3: Cross multiply
    93,578.63x = 143,982.38 × 143,982.38
  4. Step 4: Simplify right side
    93,578.63x = 20,730,924,310.64
  5. Step 5: Solve for x
    x = 20,730,924,310.64/93,578.63
  6. Step 6: Final answer
    x = 221,534.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.