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Finding the Third Proportional to 116,164 and 170,842

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Solution

The third proportional to 116,164 and 170,842 is: 251,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,164 : 170,842 = 170,842 : x
  2. Step 2: Convert to fraction form
    116,164/170,842 = 170,842/x
  3. Step 3: Cross multiply
    116,164x = 170,842 × 170,842
  4. Step 4: Simplify right side
    116,164x = 29,186,988,964
  5. Step 5: Solve for x
    x = 29,186,988,964/116,164
  6. Step 6: Final answer
    x = 251,256.75

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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.