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Finding the Third Proportional to 76,943 and 115,415

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Solution

The third proportional to 76,943 and 115,415 is: 173,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,943 : 115,415 = 115,415 : x
  2. Step 2: Convert to fraction form
    76,943/115,415 = 115,415/x
  3. Step 3: Cross multiply
    76,943x = 115,415 × 115,415
  4. Step 4: Simplify right side
    76,943x = 13,320,622,225
  5. Step 5: Solve for x
    x = 13,320,622,225/76,943
  6. Step 6: Final answer
    x = 173,123.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.