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Finding the Third Proportional to 90,011.25 and 120,780

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Solution

The third proportional to 90,011.25 and 120,780 is: 162,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,011.25 : 120,780 = 120,780 : x
  2. Step 2: Convert to fraction form
    90,011.25/120,780 = 120,780/x
  3. Step 3: Cross multiply
    90,011.25x = 120,780 × 120,780
  4. Step 4: Simplify right side
    90,011.25x = 14,587,808,400
  5. Step 5: Solve for x
    x = 14,587,808,400/90,011.25
  6. Step 6: Final answer
    x = 162,066.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.