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Finding the Third Proportional to 75,548 and 105,614

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Solution

The third proportional to 75,548 and 105,614 is: 147,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,548 : 105,614 = 105,614 : x
  2. Step 2: Convert to fraction form
    75,548/105,614 = 105,614/x
  3. Step 3: Cross multiply
    75,548x = 105,614 × 105,614
  4. Step 4: Simplify right side
    75,548x = 11,154,316,996
  5. Step 5: Solve for x
    x = 11,154,316,996/75,548
  6. Step 6: Final answer
    x = 147,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.