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Finding the Third Proportional to 88,618 and 132,347

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Solution

The third proportional to 88,618 and 132,347 is: 197,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,618 : 132,347 = 132,347 : x
  2. Step 2: Convert to fraction form
    88,618/132,347 = 132,347/x
  3. Step 3: Cross multiply
    88,618x = 132,347 × 132,347
  4. Step 4: Simplify right side
    88,618x = 17,515,728,409
  5. Step 5: Solve for x
    x = 17,515,728,409/88,618
  6. Step 6: Final answer
    x = 197,654.30

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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.