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Finding the Third Proportional to 113,663 and 170,495

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Solution

The third proportional to 113,663 and 170,495 is: 255,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,663 : 170,495 = 170,495 : x
  2. Step 2: Convert to fraction form
    113,663/170,495 = 170,495/x
  3. Step 3: Cross multiply
    113,663x = 170,495 × 170,495
  4. Step 4: Simplify right side
    113,663x = 29,068,545,025
  5. Step 5: Solve for x
    x = 29,068,545,025/113,663
  6. Step 6: Final answer
    x = 255,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.