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Finding the Third Proportional to 107,724 and 235,032

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Solution

The third proportional to 107,724 and 235,032 is: 512,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,724 : 235,032 = 235,032 : x
  2. Step 2: Convert to fraction form
    107,724/235,032 = 235,032/x
  3. Step 3: Cross multiply
    107,724x = 235,032 × 235,032
  4. Step 4: Simplify right side
    107,724x = 55,240,041,024
  5. Step 5: Solve for x
    x = 55,240,041,024/107,724
  6. Step 6: Final answer
    x = 512,792.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.