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Finding the Third Proportional to 45,403 and 105,507

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Solution

The third proportional to 45,403 and 105,507 is: 245,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,403 : 105,507 = 105,507 : x
  2. Step 2: Convert to fraction form
    45,403/105,507 = 105,507/x
  3. Step 3: Cross multiply
    45,403x = 105,507 × 105,507
  4. Step 4: Simplify right side
    45,403x = 11,131,727,049
  5. Step 5: Solve for x
    x = 11,131,727,049/45,403
  6. Step 6: Final answer
    x = 245,176.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.