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Finding the Third Proportional to 107,006 and 169,587

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Solution

The third proportional to 107,006 and 169,587 is: 268,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,006 : 169,587 = 169,587 : x
  2. Step 2: Convert to fraction form
    107,006/169,587 = 169,587/x
  3. Step 3: Cross multiply
    107,006x = 169,587 × 169,587
  4. Step 4: Simplify right side
    107,006x = 28,759,750,569
  5. Step 5: Solve for x
    x = 28,759,750,569/107,006
  6. Step 6: Final answer
    x = 268,767.64

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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.