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Finding the Third Proportional to 89,235 and 118,966.50

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Solution

The third proportional to 89,235 and 118,966.50 is: 158,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,235 : 118,966.50 = 118,966.50 : x
  2. Step 2: Convert to fraction form
    89,235/118,966.50 = 118,966.50/x
  3. Step 3: Cross multiply
    89,235x = 118,966.50 × 118,966.50
  4. Step 4: Simplify right side
    89,235x = 14,153,028,122.25
  5. Step 5: Solve for x
    x = 14,153,028,122.25/89,235
  6. Step 6: Final answer
    x = 158,604.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.