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Finding the Third Proportional to 74,048 and 117,632

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Solution

The third proportional to 74,048 and 117,632 is: 186,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048 : 117,632 = 117,632 : x
  2. Step 2: Convert to fraction form
    74,048/117,632 = 117,632/x
  3. Step 3: Cross multiply
    74,048x = 117,632 × 117,632
  4. Step 4: Simplify right side
    74,048x = 13,837,287,424
  5. Step 5: Solve for x
    x = 13,837,287,424/74,048
  6. Step 6: Final answer
    x = 186,869.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.