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Finding the Third Proportional to 134,145 and 181,534.50

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Solution

The third proportional to 134,145 and 181,534.50 is: 245,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,145 : 181,534.50 = 181,534.50 : x
  2. Step 2: Convert to fraction form
    134,145/181,534.50 = 181,534.50/x
  3. Step 3: Cross multiply
    134,145x = 181,534.50 × 181,534.50
  4. Step 4: Simplify right side
    134,145x = 32,954,774,690.25
  5. Step 5: Solve for x
    x = 32,954,774,690.25/134,145
  6. Step 6: Final answer
    x = 245,665.32

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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.