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Finding the Third Proportional to 112,664 and 157,521

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Solution

The third proportional to 112,664 and 157,521 is: 220,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664 : 157,521 = 157,521 : x
  2. Step 2: Convert to fraction form
    112,664/157,521 = 157,521/x
  3. Step 3: Cross multiply
    112,664x = 157,521 × 157,521
  4. Step 4: Simplify right side
    112,664x = 24,812,865,441
  5. Step 5: Solve for x
    x = 24,812,865,441/112,664
  6. Step 6: Final answer
    x = 220,237.75

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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.