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Finding the Third Proportional to 95,292 and 140,297.63

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Solution

The third proportional to 95,292 and 140,297.63 is: 206,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,292 : 140,297.63 = 140,297.63 : x
  2. Step 2: Convert to fraction form
    95,292/140,297.63 = 140,297.63/x
  3. Step 3: Cross multiply
    95,292x = 140,297.63 × 140,297.63
  4. Step 4: Simplify right side
    95,292x = 19,683,423,580.64
  5. Step 5: Solve for x
    x = 19,683,423,580.64/95,292
  6. Step 6: Final answer
    x = 206,559.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.