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Finding the Third Proportional to 75,690.70 and 117,534.16

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Solution

The third proportional to 75,690.70 and 117,534.16 is: 182,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,690.70 : 117,534.16 = 117,534.16 : x
  2. Step 2: Convert to fraction form
    75,690.70/117,534.16 = 117,534.16/x
  3. Step 3: Cross multiply
    75,690.70x = 117,534.16 × 117,534.16
  4. Step 4: Simplify right side
    75,690.70x = 13,814,279,721.87
  5. Step 5: Solve for x
    x = 13,814,279,721.87/75,690.70
  6. Step 6: Final answer
    x = 182,509.60

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