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Finding the Third Proportional to 58,996 and 129,032

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Solution

The third proportional to 58,996 and 129,032 is: 282,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996 : 129,032 = 129,032 : x
  2. Step 2: Convert to fraction form
    58,996/129,032 = 129,032/x
  3. Step 3: Cross multiply
    58,996x = 129,032 × 129,032
  4. Step 4: Simplify right side
    58,996x = 16,649,257,024
  5. Step 5: Solve for x
    x = 16,649,257,024/58,996
  6. Step 6: Final answer
    x = 282,209.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.