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Finding the Third Proportional to 53,433 and 113,445

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Solution

The third proportional to 53,433 and 113,445 is: 240,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,433 : 113,445 = 113,445 : x
  2. Step 2: Convert to fraction form
    53,433/113,445 = 113,445/x
  3. Step 3: Cross multiply
    53,433x = 113,445 × 113,445
  4. Step 4: Simplify right side
    53,433x = 12,869,768,025
  5. Step 5: Solve for x
    x = 12,869,768,025/53,433
  6. Step 6: Final answer
    x = 240,858.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.