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Finding the Third Proportional to 116,719 and 170,938

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Solution

The third proportional to 116,719 and 170,938 is: 250,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,719 : 170,938 = 170,938 : x
  2. Step 2: Convert to fraction form
    116,719/170,938 = 170,938/x
  3. Step 3: Cross multiply
    116,719x = 170,938 × 170,938
  4. Step 4: Simplify right side
    116,719x = 29,219,799,844
  5. Step 5: Solve for x
    x = 29,219,799,844/116,719
  6. Step 6: Final answer
    x = 250,343.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.