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Finding the Third Proportional to 59,709 and 93,195

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Solution

The third proportional to 59,709 and 93,195 is: 145,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709 : 93,195 = 93,195 : x
  2. Step 2: Convert to fraction form
    59,709/93,195 = 93,195/x
  3. Step 3: Cross multiply
    59,709x = 93,195 × 93,195
  4. Step 4: Simplify right side
    59,709x = 8,685,308,025
  5. Step 5: Solve for x
    x = 8,685,308,025/59,709
  6. Step 6: Final answer
    x = 145,460.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.