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Finding the Third Proportional to 46,674 and 102,417.75

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Solution

The third proportional to 46,674 and 102,417.75 is: 224,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 102,417.75 = 102,417.75 : x
  2. Step 2: Convert to fraction form
    46,674/102,417.75 = 102,417.75/x
  3. Step 3: Cross multiply
    46,674x = 102,417.75 × 102,417.75
  4. Step 4: Simplify right side
    46,674x = 10,489,395,515.06
  5. Step 5: Solve for x
    x = 10,489,395,515.06/46,674
  6. Step 6: Final answer
    x = 224,737.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.