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Finding the Third Proportional to 59,360 and 138,032

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Solution

The third proportional to 59,360 and 138,032 is: 320,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,360 : 138,032 = 138,032 : x
  2. Step 2: Convert to fraction form
    59,360/138,032 = 138,032/x
  3. Step 3: Cross multiply
    59,360x = 138,032 × 138,032
  4. Step 4: Simplify right side
    59,360x = 19,052,833,024
  5. Step 5: Solve for x
    x = 19,052,833,024/59,360
  6. Step 6: Final answer
    x = 320,970.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.