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Finding the Third Proportional to 46,088 and 73,508

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Solution

The third proportional to 46,088 and 73,508 is: 117,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,088 : 73,508 = 73,508 : x
  2. Step 2: Convert to fraction form
    46,088/73,508 = 73,508/x
  3. Step 3: Cross multiply
    46,088x = 73,508 × 73,508
  4. Step 4: Simplify right side
    46,088x = 5,403,426,064
  5. Step 5: Solve for x
    x = 5,403,426,064/46,088
  6. Step 6: Final answer
    x = 117,241.50

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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.