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Finding the Third Proportional to 89,115 and 129,661.50

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Solution

The third proportional to 89,115 and 129,661.50 is: 188,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,115 : 129,661.50 = 129,661.50 : x
  2. Step 2: Convert to fraction form
    89,115/129,661.50 = 129,661.50/x
  3. Step 3: Cross multiply
    89,115x = 129,661.50 × 129,661.50
  4. Step 4: Simplify right side
    89,115x = 16,812,104,582.25
  5. Step 5: Solve for x
    x = 16,812,104,582.25/89,115
  6. Step 6: Final answer
    x = 188,656.28

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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.