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Finding the Third Proportional to 60,319.50 and 132,304.50

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Solution

The third proportional to 60,319.50 and 132,304.50 is: 290,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,319.50 : 132,304.50 = 132,304.50 : x
  2. Step 2: Convert to fraction form
    60,319.50/132,304.50 = 132,304.50/x
  3. Step 3: Cross multiply
    60,319.50x = 132,304.50 × 132,304.50
  4. Step 4: Simplify right side
    60,319.50x = 17,504,480,720.25
  5. Step 5: Solve for x
    x = 17,504,480,720.25/60,319.50
  6. Step 6: Final answer
    x = 290,196.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.