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Finding the Third Proportional to 112,572 and 178,252

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Solution

The third proportional to 112,572 and 178,252 is: 282,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,572 : 178,252 = 178,252 : x
  2. Step 2: Convert to fraction form
    112,572/178,252 = 178,252/x
  3. Step 3: Cross multiply
    112,572x = 178,252 × 178,252
  4. Step 4: Simplify right side
    112,572x = 31,773,775,504
  5. Step 5: Solve for x
    x = 31,773,775,504/112,572
  6. Step 6: Final answer
    x = 282,252.92

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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.