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Finding the Third Proportional to 95,085 and 146,165.63

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Solution

The third proportional to 95,085 and 146,165.63 is: 224,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,085 : 146,165.63 = 146,165.63 : x
  2. Step 2: Convert to fraction form
    95,085/146,165.63 = 146,165.63/x
  3. Step 3: Cross multiply
    95,085x = 146,165.63 × 146,165.63
  4. Step 4: Simplify right side
    95,085x = 21,364,389,931.64
  5. Step 5: Solve for x
    x = 21,364,389,931.64/95,085
  6. Step 6: Final answer
    x = 224,687.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.