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Finding the Third Proportional to 88,617 and 132,346

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Solution

The third proportional to 88,617 and 132,346 is: 197,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,617 : 132,346 = 132,346 : x
  2. Step 2: Convert to fraction form
    88,617/132,346 = 132,346/x
  3. Step 3: Cross multiply
    88,617x = 132,346 × 132,346
  4. Step 4: Simplify right side
    88,617x = 17,515,463,716
  5. Step 5: Solve for x
    x = 17,515,463,716/88,617
  6. Step 6: Final answer
    x = 197,653.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.