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Finding the Third Proportional to 108,922.50 and 163,377

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Solution

The third proportional to 108,922.50 and 163,377 is: 245,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,922.50 : 163,377 = 163,377 : x
  2. Step 2: Convert to fraction form
    108,922.50/163,377 = 163,377/x
  3. Step 3: Cross multiply
    108,922.50x = 163,377 × 163,377
  4. Step 4: Simplify right side
    108,922.50x = 26,692,044,129
  5. Step 5: Solve for x
    x = 26,692,044,129/108,922.50
  6. Step 6: Final answer
    x = 245,055.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.