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Finding the Third Proportional to 61,577 and 133,275

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Solution

The third proportional to 61,577 and 133,275 is: 288,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,577 : 133,275 = 133,275 : x
  2. Step 2: Convert to fraction form
    61,577/133,275 = 133,275/x
  3. Step 3: Cross multiply
    61,577x = 133,275 × 133,275
  4. Step 4: Simplify right side
    61,577x = 17,762,225,625
  5. Step 5: Solve for x
    x = 17,762,225,625/61,577
  6. Step 6: Final answer
    x = 288,455.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.