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Finding the Third Proportional to 96,943 and 145,515

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Solution

The third proportional to 96,943 and 145,515 is: 218,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,943 : 145,515 = 145,515 : x
  2. Step 2: Convert to fraction form
    96,943/145,515 = 145,515/x
  3. Step 3: Cross multiply
    96,943x = 145,515 × 145,515
  4. Step 4: Simplify right side
    96,943x = 21,174,615,225
  5. Step 5: Solve for x
    x = 21,174,615,225/96,943
  6. Step 6: Final answer
    x = 218,423.35

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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.