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Finding the Third Proportional to 48,688 and 73,086

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Solution

The third proportional to 48,688 and 73,086 is: 109,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,688 : 73,086 = 73,086 : x
  2. Step 2: Convert to fraction form
    48,688/73,086 = 73,086/x
  3. Step 3: Cross multiply
    48,688x = 73,086 × 73,086
  4. Step 4: Simplify right side
    48,688x = 5,341,563,396
  5. Step 5: Solve for x
    x = 5,341,563,396/48,688
  6. Step 6: Final answer
    x = 109,710.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.