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Finding the Third Proportional to 108,077.63 and 172,656.38

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Solution

The third proportional to 108,077.63 and 172,656.38 is: 275,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,077.63 : 172,656.38 = 172,656.38 : x
  2. Step 2: Convert to fraction form
    108,077.63/172,656.38 = 172,656.38/x
  3. Step 3: Cross multiply
    108,077.63x = 172,656.38 × 172,656.38
  4. Step 4: Simplify right side
    108,077.63x = 29,810,223,828.14
  5. Step 5: Solve for x
    x = 29,810,223,828.14/108,077.63
  6. Step 6: Final answer
    x = 275,822.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.