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Finding the Third Proportional to 58,996 and 124,646

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Solution

The third proportional to 58,996 and 124,646 is: 263,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996 : 124,646 = 124,646 : x
  2. Step 2: Convert to fraction form
    58,996/124,646 = 124,646/x
  3. Step 3: Cross multiply
    58,996x = 124,646 × 124,646
  4. Step 4: Simplify right side
    58,996x = 15,536,625,316
  5. Step 5: Solve for x
    x = 15,536,625,316/58,996
  6. Step 6: Final answer
    x = 263,350.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.