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Finding the Third Proportional to 75,106 and 116,967

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Solution

The third proportional to 75,106 and 116,967 is: 182,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106 : 116,967 = 116,967 : x
  2. Step 2: Convert to fraction form
    75,106/116,967 = 116,967/x
  3. Step 3: Cross multiply
    75,106x = 116,967 × 116,967
  4. Step 4: Simplify right side
    75,106x = 13,681,279,089
  5. Step 5: Solve for x
    x = 13,681,279,089/75,106
  6. Step 6: Final answer
    x = 182,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.