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Finding the Third Proportional to 85,417 and 136,022

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Solution

The third proportional to 85,417 and 136,022 is: 216,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417 : 136,022 = 136,022 : x
  2. Step 2: Convert to fraction form
    85,417/136,022 = 136,022/x
  3. Step 3: Cross multiply
    85,417x = 136,022 × 136,022
  4. Step 4: Simplify right side
    85,417x = 18,501,984,484
  5. Step 5: Solve for x
    x = 18,501,984,484/85,417
  6. Step 6: Final answer
    x = 216,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.