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Finding the Third Proportional to 90,258 and 132,308

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Solution

The third proportional to 90,258 and 132,308 is: 193,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,258 : 132,308 = 132,308 : x
  2. Step 2: Convert to fraction form
    90,258/132,308 = 132,308/x
  3. Step 3: Cross multiply
    90,258x = 132,308 × 132,308
  4. Step 4: Simplify right side
    90,258x = 17,505,406,864
  5. Step 5: Solve for x
    x = 17,505,406,864/90,258
  6. Step 6: Final answer
    x = 193,948.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.