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Finding the Third Proportional to 43,136 and 94,258

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Solution

The third proportional to 43,136 and 94,258 is: 205,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,136 : 94,258 = 94,258 : x
  2. Step 2: Convert to fraction form
    43,136/94,258 = 94,258/x
  3. Step 3: Cross multiply
    43,136x = 94,258 × 94,258
  4. Step 4: Simplify right side
    43,136x = 8,884,570,564
  5. Step 5: Solve for x
    x = 8,884,570,564/43,136
  6. Step 6: Final answer
    x = 205,966.49

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Why These Related Problems?

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