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Finding the Third Proportional to 75,970 and 117,938

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Solution

The third proportional to 75,970 and 117,938 is: 183,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970 : 117,938 = 117,938 : x
  2. Step 2: Convert to fraction form
    75,970/117,938 = 117,938/x
  3. Step 3: Cross multiply
    75,970x = 117,938 × 117,938
  4. Step 4: Simplify right side
    75,970x = 13,909,371,844
  5. Step 5: Solve for x
    x = 13,909,371,844/75,970
  6. Step 6: Final answer
    x = 183,090.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.