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Finding the Third Proportional to 49,307.50 and 80,108.50

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Solution

The third proportional to 49,307.50 and 80,108.50 is: 130,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307.50 : 80,108.50 = 80,108.50 : x
  2. Step 2: Convert to fraction form
    49,307.50/80,108.50 = 80,108.50/x
  3. Step 3: Cross multiply
    49,307.50x = 80,108.50 × 80,108.50
  4. Step 4: Simplify right side
    49,307.50x = 6,417,371,772.25
  5. Step 5: Solve for x
    x = 6,417,371,772.25/49,307.50
  6. Step 6: Final answer
    x = 130,150.01

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.