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Finding the Third Proportional to 49,710 and 75,289

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Solution

The third proportional to 49,710 and 75,289 is: 114,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710 : 75,289 = 75,289 : x
  2. Step 2: Convert to fraction form
    49,710/75,289 = 75,289/x
  3. Step 3: Cross multiply
    49,710x = 75,289 × 75,289
  4. Step 4: Simplify right side
    49,710x = 5,668,433,521
  5. Step 5: Solve for x
    x = 5,668,433,521/49,710
  6. Step 6: Final answer
    x = 114,030.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.