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Finding the Third Proportional to 52,701 and 124,403

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Solution

The third proportional to 52,701 and 124,403 is: 293,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701 : 124,403 = 124,403 : x
  2. Step 2: Convert to fraction form
    52,701/124,403 = 124,403/x
  3. Step 3: Cross multiply
    52,701x = 124,403 × 124,403
  4. Step 4: Simplify right side
    52,701x = 15,476,106,409
  5. Step 5: Solve for x
    x = 15,476,106,409/52,701
  6. Step 6: Final answer
    x = 293,658.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.