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Finding the Third Proportional to 112,946 and 150,575

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Solution

The third proportional to 112,946 and 150,575 is: 200,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,946 : 150,575 = 150,575 : x
  2. Step 2: Convert to fraction form
    112,946/150,575 = 150,575/x
  3. Step 3: Cross multiply
    112,946x = 150,575 × 150,575
  4. Step 4: Simplify right side
    112,946x = 22,672,830,625
  5. Step 5: Solve for x
    x = 22,672,830,625/112,946
  6. Step 6: Final answer
    x = 200,740.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.