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Finding the Third Proportional to 65,575.83 and 117,655.03

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Solution

The third proportional to 65,575.83 and 117,655.03 is: 211,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,575.83 : 117,655.03 = 117,655.03 : x
  2. Step 2: Convert to fraction form
    65,575.83/117,655.03 = 117,655.03/x
  3. Step 3: Cross multiply
    65,575.83x = 117,655.03 × 117,655.03
  4. Step 4: Simplify right side
    65,575.83x = 13,842,706,378.44
  5. Step 5: Solve for x
    x = 13,842,706,378.44/65,575.83
  6. Step 6: Final answer
    x = 211,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.