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Finding the Third Proportional to 48,610 and 76,155

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Solution

The third proportional to 48,610 and 76,155 is: 119,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,610 : 76,155 = 76,155 : x
  2. Step 2: Convert to fraction form
    48,610/76,155 = 76,155/x
  3. Step 3: Cross multiply
    48,610x = 76,155 × 76,155
  4. Step 4: Simplify right side
    48,610x = 5,799,584,025
  5. Step 5: Solve for x
    x = 5,799,584,025/48,610
  6. Step 6: Final answer
    x = 119,308.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.