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Finding the Third Proportional to 63,526 and 125,445

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Solution

The third proportional to 63,526 and 125,445 is: 247,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,526 : 125,445 = 125,445 : x
  2. Step 2: Convert to fraction form
    63,526/125,445 = 125,445/x
  3. Step 3: Cross multiply
    63,526x = 125,445 × 125,445
  4. Step 4: Simplify right side
    63,526x = 15,736,448,025
  5. Step 5: Solve for x
    x = 15,736,448,025/63,526
  6. Step 6: Final answer
    x = 247,716.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.