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Finding the Third Proportional to 64,949.63 and 142,656.75

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Solution

The third proportional to 64,949.63 and 142,656.75 is: 313,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,949.63 : 142,656.75 = 142,656.75 : x
  2. Step 2: Convert to fraction form
    64,949.63/142,656.75 = 142,656.75/x
  3. Step 3: Cross multiply
    64,949.63x = 142,656.75 × 142,656.75
  4. Step 4: Simplify right side
    64,949.63x = 20,350,948,320.56
  5. Step 5: Solve for x
    x = 20,350,948,320.56/64,949.63
  6. Step 6: Final answer
    x = 313,334.35

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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.