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Finding the Third Proportional to 48,116 and 75,585

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Solution

The third proportional to 48,116 and 75,585 is: 118,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 75,585 = 75,585 : x
  2. Step 2: Convert to fraction form
    48,116/75,585 = 75,585/x
  3. Step 3: Cross multiply
    48,116x = 75,585 × 75,585
  4. Step 4: Simplify right side
    48,116x = 5,713,092,225
  5. Step 5: Solve for x
    x = 5,713,092,225/48,116
  6. Step 6: Final answer
    x = 118,735.81

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Why These Related Problems?

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