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Finding the Third Proportional to 75,255 and 102,500.50

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Solution

The third proportional to 75,255 and 102,500.50 is: 139,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255 : 102,500.50 = 102,500.50 : x
  2. Step 2: Convert to fraction form
    75,255/102,500.50 = 102,500.50/x
  3. Step 3: Cross multiply
    75,255x = 102,500.50 × 102,500.50
  4. Step 4: Simplify right side
    75,255x = 10,506,352,500.25
  5. Step 5: Solve for x
    x = 10,506,352,500.25/75,255
  6. Step 6: Final answer
    x = 139,610.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.