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Finding the Third Proportional to 83,368 and 117,402

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Solution

The third proportional to 83,368 and 117,402 is: 165,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,368 : 117,402 = 117,402 : x
  2. Step 2: Convert to fraction form
    83,368/117,402 = 117,402/x
  3. Step 3: Cross multiply
    83,368x = 117,402 × 117,402
  4. Step 4: Simplify right side
    83,368x = 13,783,229,604
  5. Step 5: Solve for x
    x = 13,783,229,604/83,368
  6. Step 6: Final answer
    x = 165,329.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.