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Finding the Third Proportional to 64,742.88 and 141,493.88

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Solution

The third proportional to 64,742.88 and 141,493.88 is: 309,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742.88 : 141,493.88 = 141,493.88 : x
  2. Step 2: Convert to fraction form
    64,742.88/141,493.88 = 141,493.88/x
  3. Step 3: Cross multiply
    64,742.88x = 141,493.88 × 141,493.88
  4. Step 4: Simplify right side
    64,742.88x = 20,020,516,662.52
  5. Step 5: Solve for x
    x = 20,020,516,662.52/64,742.88
  6. Step 6: Final answer
    x = 309,231.20

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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.