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Finding the Third Proportional to 96,040 and 145,385

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Solution

The third proportional to 96,040 and 145,385 is: 220,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,040 : 145,385 = 145,385 : x
  2. Step 2: Convert to fraction form
    96,040/145,385 = 145,385/x
  3. Step 3: Cross multiply
    96,040x = 145,385 × 145,385
  4. Step 4: Simplify right side
    96,040x = 21,136,798,225
  5. Step 5: Solve for x
    x = 21,136,798,225/96,040
  6. Step 6: Final answer
    x = 220,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.