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Finding the Third Proportional to 108,045 and 163,557

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Solution

The third proportional to 108,045 and 163,557 is: 247,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045 : 163,557 = 163,557 : x
  2. Step 2: Convert to fraction form
    108,045/163,557 = 163,557/x
  3. Step 3: Cross multiply
    108,045x = 163,557 × 163,557
  4. Step 4: Simplify right side
    108,045x = 26,750,892,249
  5. Step 5: Solve for x
    x = 26,750,892,249/108,045
  6. Step 6: Final answer
    x = 247,590.28

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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.