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Finding the Third Proportional to 61,302.50 and 93,735.50

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Solution

The third proportional to 61,302.50 and 93,735.50 is: 143,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,302.50 : 93,735.50 = 93,735.50 : x
  2. Step 2: Convert to fraction form
    61,302.50/93,735.50 = 93,735.50/x
  3. Step 3: Cross multiply
    61,302.50x = 93,735.50 × 93,735.50
  4. Step 4: Simplify right side
    61,302.50x = 8,786,343,960.25
  5. Step 5: Solve for x
    x = 8,786,343,960.25/61,302.50
  6. Step 6: Final answer
    x = 143,327.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.