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Finding the Third Proportional to 60,465.94 and 141,197.63

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Solution

The third proportional to 60,465.94 and 141,197.63 is: 329,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,465.94 : 141,197.63 = 141,197.63 : x
  2. Step 2: Convert to fraction form
    60,465.94/141,197.63 = 141,197.63/x
  3. Step 3: Cross multiply
    60,465.94x = 141,197.63 × 141,197.63
  4. Step 4: Simplify right side
    60,465.94x = 19,936,769,305.64
  5. Step 5: Solve for x
    x = 19,936,769,305.64/60,465.94
  6. Step 6: Final answer
    x = 329,719.01

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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.