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Finding the Third Proportional to 74,114 and 114,641

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Solution

The third proportional to 74,114 and 114,641 is: 177,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,114 : 114,641 = 114,641 : x
  2. Step 2: Convert to fraction form
    74,114/114,641 = 114,641/x
  3. Step 3: Cross multiply
    74,114x = 114,641 × 114,641
  4. Step 4: Simplify right side
    74,114x = 13,142,558,881
  5. Step 5: Solve for x
    x = 13,142,558,881/74,114
  6. Step 6: Final answer
    x = 177,328.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.