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Finding the Third Proportional to 86,695 and 163,022

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Solution

The third proportional to 86,695 and 163,022 is: 306,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,695 : 163,022 = 163,022 : x
  2. Step 2: Convert to fraction form
    86,695/163,022 = 163,022/x
  3. Step 3: Cross multiply
    86,695x = 163,022 × 163,022
  4. Step 4: Simplify right side
    86,695x = 26,576,172,484
  5. Step 5: Solve for x
    x = 26,576,172,484/86,695
  6. Step 6: Final answer
    x = 306,547.93

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.