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Finding the Third Proportional to 78,762.50 and 172,834.75

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Solution

The third proportional to 78,762.50 and 172,834.75 is: 379,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.50 : 172,834.75 = 172,834.75 : x
  2. Step 2: Convert to fraction form
    78,762.50/172,834.75 = 172,834.75/x
  3. Step 3: Cross multiply
    78,762.50x = 172,834.75 × 172,834.75
  4. Step 4: Simplify right side
    78,762.50x = 29,871,850,807.56
  5. Step 5: Solve for x
    x = 29,871,850,807.56/78,762.50
  6. Step 6: Final answer
    x = 379,264.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.