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Finding the Third Proportional to 60,464.81 and 141,195.23

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Solution

The third proportional to 60,464.81 and 141,195.23 is: 329,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,464.81 : 141,195.23 = 141,195.23 : x
  2. Step 2: Convert to fraction form
    60,464.81/141,195.23 = 141,195.23/x
  3. Step 3: Cross multiply
    60,464.81x = 141,195.23 × 141,195.23
  4. Step 4: Simplify right side
    60,464.81x = 19,936,094,210.21
  5. Step 5: Solve for x
    x = 19,936,094,210.21/60,464.81
  6. Step 6: Final answer
    x = 329,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.