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Finding the Third Proportional to 59,709.75 and 93,196.50

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Solution

The third proportional to 59,709.75 and 93,196.50 is: 145,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709.75 : 93,196.50 = 93,196.50 : x
  2. Step 2: Convert to fraction form
    59,709.75/93,196.50 = 93,196.50/x
  3. Step 3: Cross multiply
    59,709.75x = 93,196.50 × 93,196.50
  4. Step 4: Simplify right side
    59,709.75x = 8,685,587,612.25
  5. Step 5: Solve for x
    x = 8,685,587,612.25/59,709.75
  6. Step 6: Final answer
    x = 145,463.47

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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.