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Finding the Third Proportional to 146,120 and 214,572

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Solution

The third proportional to 146,120 and 214,572 is: 315,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,120 : 214,572 = 214,572 : x
  2. Step 2: Convert to fraction form
    146,120/214,572 = 214,572/x
  3. Step 3: Cross multiply
    146,120x = 214,572 × 214,572
  4. Step 4: Simplify right side
    146,120x = 46,041,143,184
  5. Step 5: Solve for x
    x = 46,041,143,184/146,120
  6. Step 6: Final answer
    x = 315,091.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.