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Finding the Third Proportional to 93,242 and 207,532

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Solution

The third proportional to 93,242 and 207,532 is: 461,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,242 : 207,532 = 207,532 : x
  2. Step 2: Convert to fraction form
    93,242/207,532 = 207,532/x
  3. Step 3: Cross multiply
    93,242x = 207,532 × 207,532
  4. Step 4: Simplify right side
    93,242x = 43,069,531,024
  5. Step 5: Solve for x
    x = 43,069,531,024/93,242
  6. Step 6: Final answer
    x = 461,911.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.