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Finding the Third Proportional to 65,370 and 103,569

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Solution

The third proportional to 65,370 and 103,569 is: 164,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,370 : 103,569 = 103,569 : x
  2. Step 2: Convert to fraction form
    65,370/103,569 = 103,569/x
  3. Step 3: Cross multiply
    65,370x = 103,569 × 103,569
  4. Step 4: Simplify right side
    65,370x = 10,726,537,761
  5. Step 5: Solve for x
    x = 10,726,537,761/65,370
  6. Step 6: Final answer
    x = 164,089.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.