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Finding the Third Proportional to 83,681 and 117,044

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Solution

The third proportional to 83,681 and 117,044 is: 163,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,681 : 117,044 = 117,044 : x
  2. Step 2: Convert to fraction form
    83,681/117,044 = 117,044/x
  3. Step 3: Cross multiply
    83,681x = 117,044 × 117,044
  4. Step 4: Simplify right side
    83,681x = 13,699,297,936
  5. Step 5: Solve for x
    x = 13,699,297,936/83,681
  6. Step 6: Final answer
    x = 163,708.58

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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.