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Finding the Third Proportional to 58,297.50 and 124,893

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Solution

The third proportional to 58,297.50 and 124,893 is: 267,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,297.50 : 124,893 = 124,893 : x
  2. Step 2: Convert to fraction form
    58,297.50/124,893 = 124,893/x
  3. Step 3: Cross multiply
    58,297.50x = 124,893 × 124,893
  4. Step 4: Simplify right side
    58,297.50x = 15,598,261,449
  5. Step 5: Solve for x
    x = 15,598,261,449/58,297.50
  6. Step 6: Final answer
    x = 267,563.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.