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Finding the Third Proportional to 52,320 and 114,032

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Solution

The third proportional to 52,320 and 114,032 is: 248,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320 : 114,032 = 114,032 : x
  2. Step 2: Convert to fraction form
    52,320/114,032 = 114,032/x
  3. Step 3: Cross multiply
    52,320x = 114,032 × 114,032
  4. Step 4: Simplify right side
    52,320x = 13,003,297,024
  5. Step 5: Solve for x
    x = 13,003,297,024/52,320
  6. Step 6: Final answer
    x = 248,533.96

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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.