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Finding the Third Proportional to 74,165.63 and 117,918.28

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Solution

The third proportional to 74,165.63 and 117,918.28 is: 187,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,165.63 : 117,918.28 = 117,918.28 : x
  2. Step 2: Convert to fraction form
    74,165.63/117,918.28 = 117,918.28/x
  3. Step 3: Cross multiply
    74,165.63x = 117,918.28 × 117,918.28
  4. Step 4: Simplify right side
    74,165.63x = 13,904,721,052.95
  5. Step 5: Solve for x
    x = 13,904,721,052.95/74,165.63
  6. Step 6: Final answer
    x = 187,482.02

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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.