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Finding the Third Proportional to 113,010 and 175,097

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Solution

The third proportional to 113,010 and 175,097 is: 271,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,010 : 175,097 = 175,097 : x
  2. Step 2: Convert to fraction form
    113,010/175,097 = 175,097/x
  3. Step 3: Cross multiply
    113,010x = 175,097 × 175,097
  4. Step 4: Simplify right side
    113,010x = 30,658,959,409
  5. Step 5: Solve for x
    x = 30,658,959,409/113,010
  6. Step 6: Final answer
    x = 271,294.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.