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Finding the Third Proportional to 75,298 and 116,657

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Solution

The third proportional to 75,298 and 116,657 is: 180,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298 : 116,657 = 116,657 : x
  2. Step 2: Convert to fraction form
    75,298/116,657 = 116,657/x
  3. Step 3: Cross multiply
    75,298x = 116,657 × 116,657
  4. Step 4: Simplify right side
    75,298x = 13,608,855,649
  5. Step 5: Solve for x
    x = 13,608,855,649/75,298
  6. Step 6: Final answer
    x = 180,733.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.