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Finding the Third Proportional to 74,567 and 112,937

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Solution

The third proportional to 74,567 and 112,937 is: 171,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567 : 112,937 = 112,937 : x
  2. Step 2: Convert to fraction form
    74,567/112,937 = 112,937/x
  3. Step 3: Cross multiply
    74,567x = 112,937 × 112,937
  4. Step 4: Simplify right side
    74,567x = 12,754,765,969
  5. Step 5: Solve for x
    x = 12,754,765,969/74,567
  6. Step 6: Final answer
    x = 171,051.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.