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Finding the Third Proportional to 52,398 and 110,709

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Solution

The third proportional to 52,398 and 110,709 is: 233,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,398 : 110,709 = 110,709 : x
  2. Step 2: Convert to fraction form
    52,398/110,709 = 110,709/x
  3. Step 3: Cross multiply
    52,398x = 110,709 × 110,709
  4. Step 4: Simplify right side
    52,398x = 12,256,482,681
  5. Step 5: Solve for x
    x = 12,256,482,681/52,398
  6. Step 6: Final answer
    x = 233,911.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.