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Finding the Third Proportional to 59,709.66 and 83,656.55

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Solution

The third proportional to 59,709.66 and 83,656.55 is: 117,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709.66 : 83,656.55 = 83,656.55 : x
  2. Step 2: Convert to fraction form
    59,709.66/83,656.55 = 83,656.55/x
  3. Step 3: Cross multiply
    59,709.66x = 83,656.55 × 83,656.55
  4. Step 4: Simplify right side
    59,709.66x = 6,998,417,835.05
  5. Step 5: Solve for x
    x = 6,998,417,835.05/59,709.66
  6. Step 6: Final answer
    x = 117,207.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.