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Finding the Third Proportional to 124,644 and 174,897

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Solution

The third proportional to 124,644 and 174,897 is: 245,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,644 : 174,897 = 174,897 : x
  2. Step 2: Convert to fraction form
    124,644/174,897 = 174,897/x
  3. Step 3: Cross multiply
    124,644x = 174,897 × 174,897
  4. Step 4: Simplify right side
    124,644x = 30,588,960,609
  5. Step 5: Solve for x
    x = 30,588,960,609/124,644
  6. Step 6: Final answer
    x = 245,410.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.