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Finding the Third Proportional to 128,798 and 169,772

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Solution

The third proportional to 128,798 and 169,772 is: 223,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,798 : 169,772 = 169,772 : x
  2. Step 2: Convert to fraction form
    128,798/169,772 = 169,772/x
  3. Step 3: Cross multiply
    128,798x = 169,772 × 169,772
  4. Step 4: Simplify right side
    128,798x = 28,822,531,984
  5. Step 5: Solve for x
    x = 28,822,531,984/128,798
  6. Step 6: Final answer
    x = 223,780.90

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.