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Finding the Third Proportional to 108,141 and 144,654

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Solution

The third proportional to 108,141 and 144,654 is: 193,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,141 : 144,654 = 144,654 : x
  2. Step 2: Convert to fraction form
    108,141/144,654 = 144,654/x
  3. Step 3: Cross multiply
    108,141x = 144,654 × 144,654
  4. Step 4: Simplify right side
    108,141x = 20,924,779,716
  5. Step 5: Solve for x
    x = 20,924,779,716/108,141
  6. Step 6: Final answer
    x = 193,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.