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Finding the Third Proportional to 117,596 and 177,486

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Solution

The third proportional to 117,596 and 177,486 is: 267,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,596 : 177,486 = 177,486 : x
  2. Step 2: Convert to fraction form
    117,596/177,486 = 177,486/x
  3. Step 3: Cross multiply
    117,596x = 177,486 × 177,486
  4. Step 4: Simplify right side
    117,596x = 31,501,280,196
  5. Step 5: Solve for x
    x = 31,501,280,196/117,596
  6. Step 6: Final answer
    x = 267,877.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.