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Finding the Third Proportional to 75,705.50 and 117,557

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Solution

The third proportional to 75,705.50 and 117,557 is: 182,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705.50 : 117,557 = 117,557 : x
  2. Step 2: Convert to fraction form
    75,705.50/117,557 = 117,557/x
  3. Step 3: Cross multiply
    75,705.50x = 117,557 × 117,557
  4. Step 4: Simplify right side
    75,705.50x = 13,819,648,249
  5. Step 5: Solve for x
    x = 13,819,648,249/75,705.50
  6. Step 6: Final answer
    x = 182,544.84

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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.