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Finding the Third Proportional to 117,214 and 175,046

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Solution

The third proportional to 117,214 and 175,046 is: 261,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,214 : 175,046 = 175,046 : x
  2. Step 2: Convert to fraction form
    117,214/175,046 = 175,046/x
  3. Step 3: Cross multiply
    117,214x = 175,046 × 175,046
  4. Step 4: Simplify right side
    117,214x = 30,641,102,116
  5. Step 5: Solve for x
    x = 30,641,102,116/117,214
  6. Step 6: Final answer
    x = 261,411.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.