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Finding the Third Proportional to 126,495 and 190,575

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Solution

The third proportional to 126,495 and 190,575 is: 287,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,495 : 190,575 = 190,575 : x
  2. Step 2: Convert to fraction form
    126,495/190,575 = 190,575/x
  3. Step 3: Cross multiply
    126,495x = 190,575 × 190,575
  4. Step 4: Simplify right side
    126,495x = 36,318,830,625
  5. Step 5: Solve for x
    x = 36,318,830,625/126,495
  6. Step 6: Final answer
    x = 287,116.73

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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.