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Finding the Third Proportional to 86,304.50 and 116,604.50

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Solution

The third proportional to 86,304.50 and 116,604.50 is: 157,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304.50 : 116,604.50 = 116,604.50 : x
  2. Step 2: Convert to fraction form
    86,304.50/116,604.50 = 116,604.50/x
  3. Step 3: Cross multiply
    86,304.50x = 116,604.50 × 116,604.50
  4. Step 4: Simplify right side
    86,304.50x = 13,596,609,420.25
  5. Step 5: Solve for x
    x = 13,596,609,420.25/86,304.50
  6. Step 6: Final answer
    x = 157,542.30

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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.