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Finding the Third Proportional to 46,603 and 74,116.50

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Solution

The third proportional to 46,603 and 74,116.50 is: 117,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,603 : 74,116.50 = 74,116.50 : x
  2. Step 2: Convert to fraction form
    46,603/74,116.50 = 74,116.50/x
  3. Step 3: Cross multiply
    46,603x = 74,116.50 × 74,116.50
  4. Step 4: Simplify right side
    46,603x = 5,493,255,572.25
  5. Step 5: Solve for x
    x = 5,493,255,572.25/46,603
  6. Step 6: Final answer
    x = 117,873.43

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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.