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Finding the Third Proportional to 62,025 and 98,574.75

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Solution

The third proportional to 62,025 and 98,574.75 is: 156,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,025 : 98,574.75 = 98,574.75 : x
  2. Step 2: Convert to fraction form
    62,025/98,574.75 = 98,574.75/x
  3. Step 3: Cross multiply
    62,025x = 98,574.75 × 98,574.75
  4. Step 4: Simplify right side
    62,025x = 9,716,981,337.56
  5. Step 5: Solve for x
    x = 9,716,981,337.56/62,025
  6. Step 6: Final answer
    x = 156,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.