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Finding the Third Proportional to 108,042 and 170,942

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Solution

The third proportional to 108,042 and 170,942 is: 270,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,042 : 170,942 = 170,942 : x
  2. Step 2: Convert to fraction form
    108,042/170,942 = 170,942/x
  3. Step 3: Cross multiply
    108,042x = 170,942 × 170,942
  4. Step 4: Simplify right side
    108,042x = 29,221,167,364
  5. Step 5: Solve for x
    x = 29,221,167,364/108,042
  6. Step 6: Final answer
    x = 270,461.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.