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Finding the Third Proportional to 54,658 and 118,604

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Solution

The third proportional to 54,658 and 118,604 is: 257,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658 : 118,604 = 118,604 : x
  2. Step 2: Convert to fraction form
    54,658/118,604 = 118,604/x
  3. Step 3: Cross multiply
    54,658x = 118,604 × 118,604
  4. Step 4: Simplify right side
    54,658x = 14,066,908,816
  5. Step 5: Solve for x
    x = 14,066,908,816/54,658
  6. Step 6: Final answer
    x = 257,362.30

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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.