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Finding the Third Proportional to 96,577 and 155,126

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Solution

The third proportional to 96,577 and 155,126 is: 249,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,577 : 155,126 = 155,126 : x
  2. Step 2: Convert to fraction form
    96,577/155,126 = 155,126/x
  3. Step 3: Cross multiply
    96,577x = 155,126 × 155,126
  4. Step 4: Simplify right side
    96,577x = 24,064,075,876
  5. Step 5: Solve for x
    x = 24,064,075,876/96,577
  6. Step 6: Final answer
    x = 249,169.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.