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Finding the Third Proportional to 63,805.50 and 93,735

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Solution

The third proportional to 63,805.50 and 93,735 is: 137,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,805.50 : 93,735 = 93,735 : x
  2. Step 2: Convert to fraction form
    63,805.50/93,735 = 93,735/x
  3. Step 3: Cross multiply
    63,805.50x = 93,735 × 93,735
  4. Step 4: Simplify right side
    63,805.50x = 8,786,250,225
  5. Step 5: Solve for x
    x = 8,786,250,225/63,805.50
  6. Step 6: Final answer
    x = 137,703.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.