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Finding the Third Proportional to 112,644 and 157,484

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Solution

The third proportional to 112,644 and 157,484 is: 220,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,644 : 157,484 = 157,484 : x
  2. Step 2: Convert to fraction form
    112,644/157,484 = 157,484/x
  3. Step 3: Cross multiply
    112,644x = 157,484 × 157,484
  4. Step 4: Simplify right side
    112,644x = 24,801,210,256
  5. Step 5: Solve for x
    x = 24,801,210,256/112,644
  6. Step 6: Final answer
    x = 220,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.