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Finding the Third Proportional to 117,969 and 252,624

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Solution

The third proportional to 117,969 and 252,624 is: 540,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969 : 252,624 = 252,624 : x
  2. Step 2: Convert to fraction form
    117,969/252,624 = 252,624/x
  3. Step 3: Cross multiply
    117,969x = 252,624 × 252,624
  4. Step 4: Simplify right side
    117,969x = 63,818,885,376
  5. Step 5: Solve for x
    x = 63,818,885,376/117,969
  6. Step 6: Final answer
    x = 540,980.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.