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Finding the Third Proportional to 45,964 and 96,565

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Solution

The third proportional to 45,964 and 96,565 is: 202,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964 : 96,565 = 96,565 : x
  2. Step 2: Convert to fraction form
    45,964/96,565 = 96,565/x
  3. Step 3: Cross multiply
    45,964x = 96,565 × 96,565
  4. Step 4: Simplify right side
    45,964x = 9,324,799,225
  5. Step 5: Solve for x
    x = 9,324,799,225/45,964
  6. Step 6: Final answer
    x = 202,871.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.