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Finding the Third Proportional to 99,765 and 134,599.50

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Solution

The third proportional to 99,765 and 134,599.50 is: 181,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765 : 134,599.50 = 134,599.50 : x
  2. Step 2: Convert to fraction form
    99,765/134,599.50 = 134,599.50/x
  3. Step 3: Cross multiply
    99,765x = 134,599.50 × 134,599.50
  4. Step 4: Simplify right side
    99,765x = 18,117,025,400.25
  5. Step 5: Solve for x
    x = 18,117,025,400.25/99,765
  6. Step 6: Final answer
    x = 181,597.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.