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Finding the Third Proportional to 81,138 and 118,567.50

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Solution

The third proportional to 81,138 and 118,567.50 is: 173,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 118,567.50 = 118,567.50 : x
  2. Step 2: Convert to fraction form
    81,138/118,567.50 = 118,567.50/x
  3. Step 3: Cross multiply
    81,138x = 118,567.50 × 118,567.50
  4. Step 4: Simplify right side
    81,138x = 14,058,252,056.25
  5. Step 5: Solve for x
    x = 14,058,252,056.25/81,138
  6. Step 6: Final answer
    x = 173,263.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.