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Finding the Third Proportional to 52,905 and 114,420

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Solution

The third proportional to 52,905 and 114,420 is: 247,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,905 : 114,420 = 114,420 : x
  2. Step 2: Convert to fraction form
    52,905/114,420 = 114,420/x
  3. Step 3: Cross multiply
    52,905x = 114,420 × 114,420
  4. Step 4: Simplify right side
    52,905x = 13,091,936,400
  5. Step 5: Solve for x
    x = 13,091,936,400/52,905
  6. Step 6: Final answer
    x = 247,461.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.