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Finding the Third Proportional to 77,205.75 and 112,290

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Solution

The third proportional to 77,205.75 and 112,290 is: 163,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205.75 : 112,290 = 112,290 : x
  2. Step 2: Convert to fraction form
    77,205.75/112,290 = 112,290/x
  3. Step 3: Cross multiply
    77,205.75x = 112,290 × 112,290
  4. Step 4: Simplify right side
    77,205.75x = 12,609,044,100
  5. Step 5: Solve for x
    x = 12,609,044,100/77,205.75
  6. Step 6: Final answer
    x = 163,317.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.