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Finding the Third Proportional to 113,101 and 245,690

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Solution

The third proportional to 113,101 and 245,690 is: 533,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,101 : 245,690 = 245,690 : x
  2. Step 2: Convert to fraction form
    113,101/245,690 = 245,690/x
  3. Step 3: Cross multiply
    113,101x = 245,690 × 245,690
  4. Step 4: Simplify right side
    113,101x = 60,363,576,100
  5. Step 5: Solve for x
    x = 60,363,576,100/113,101
  6. Step 6: Final answer
    x = 533,713.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.