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Finding the Third Proportional to 112,024 and 177,470

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Solution

The third proportional to 112,024 and 177,470 is: 281,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,024 : 177,470 = 177,470 : x
  2. Step 2: Convert to fraction form
    112,024/177,470 = 177,470/x
  3. Step 3: Cross multiply
    112,024x = 177,470 × 177,470
  4. Step 4: Simplify right side
    112,024x = 31,495,600,900
  5. Step 5: Solve for x
    x = 31,495,600,900/112,024
  6. Step 6: Final answer
    x = 281,150.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.