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Finding the Third Proportional to 75,695.63 and 159,233.06

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Solution

The third proportional to 75,695.63 and 159,233.06 is: 334,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,695.63 : 159,233.06 = 159,233.06 : x
  2. Step 2: Convert to fraction form
    75,695.63/159,233.06 = 159,233.06/x
  3. Step 3: Cross multiply
    75,695.63x = 159,233.06 × 159,233.06
  4. Step 4: Simplify right side
    75,695.63x = 25,355,168,193.13
  5. Step 5: Solve for x
    x = 25,355,168,193.13/75,695.63
  6. Step 6: Final answer
    x = 334,962.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.