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Finding the Third Proportional to 64,070.63 and 140,695.88

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Solution

The third proportional to 64,070.63 and 140,695.88 is: 308,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,070.63 : 140,695.88 = 140,695.88 : x
  2. Step 2: Convert to fraction form
    64,070.63/140,695.88 = 140,695.88/x
  3. Step 3: Cross multiply
    64,070.63x = 140,695.88 × 140,695.88
  4. Step 4: Simplify right side
    64,070.63x = 19,795,329,242.02
  5. Step 5: Solve for x
    x = 19,795,329,242.02/64,070.63
  6. Step 6: Final answer
    x = 308,961.08

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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.