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Finding the Third Proportional to 116,414 and 172,437

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Solution

The third proportional to 116,414 and 172,437 is: 255,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,414 : 172,437 = 172,437 : x
  2. Step 2: Convert to fraction form
    116,414/172,437 = 172,437/x
  3. Step 3: Cross multiply
    116,414x = 172,437 × 172,437
  4. Step 4: Simplify right side
    116,414x = 29,734,518,969
  5. Step 5: Solve for x
    x = 29,734,518,969/116,414
  6. Step 6: Final answer
    x = 255,420.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.