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Finding the Third Proportional to 75,780 and 118,614

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Solution

The third proportional to 75,780 and 118,614 is: 185,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780 : 118,614 = 118,614 : x
  2. Step 2: Convert to fraction form
    75,780/118,614 = 118,614/x
  3. Step 3: Cross multiply
    75,780x = 118,614 × 118,614
  4. Step 4: Simplify right side
    75,780x = 14,069,280,996
  5. Step 5: Solve for x
    x = 14,069,280,996/75,780
  6. Step 6: Final answer
    x = 185,659.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.