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Finding the Third Proportional to 48,726 and 106,578

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Solution

The third proportional to 48,726 and 106,578 is: 233,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 106,578 = 106,578 : x
  2. Step 2: Convert to fraction form
    48,726/106,578 = 106,578/x
  3. Step 3: Cross multiply
    48,726x = 106,578 × 106,578
  4. Step 4: Simplify right side
    48,726x = 11,358,870,084
  5. Step 5: Solve for x
    x = 11,358,870,084/48,726
  6. Step 6: Final answer
    x = 233,117.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.