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Finding the Third Proportional to 64,333.13 and 141,754.50

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Solution

The third proportional to 64,333.13 and 141,754.50 is: 312,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,333.13 : 141,754.50 = 141,754.50 : x
  2. Step 2: Convert to fraction form
    64,333.13/141,754.50 = 141,754.50/x
  3. Step 3: Cross multiply
    64,333.13x = 141,754.50 × 141,754.50
  4. Step 4: Simplify right side
    64,333.13x = 20,094,338,270.25
  5. Step 5: Solve for x
    x = 20,094,338,270.25/64,333.13
  6. Step 6: Final answer
    x = 312,348.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.