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Finding the Third Proportional to 116,106 and 155,637

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Solution

The third proportional to 116,106 and 155,637 is: 208,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,106 : 155,637 = 155,637 : x
  2. Step 2: Convert to fraction form
    116,106/155,637 = 155,637/x
  3. Step 3: Cross multiply
    116,106x = 155,637 × 155,637
  4. Step 4: Simplify right side
    116,106x = 24,222,875,769
  5. Step 5: Solve for x
    x = 24,222,875,769/116,106
  6. Step 6: Final answer
    x = 208,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.