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Finding the Third Proportional to 94,557 and 201,630

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Solution

The third proportional to 94,557 and 201,630 is: 429,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,557 : 201,630 = 201,630 : x
  2. Step 2: Convert to fraction form
    94,557/201,630 = 201,630/x
  3. Step 3: Cross multiply
    94,557x = 201,630 × 201,630
  4. Step 4: Simplify right side
    94,557x = 40,654,656,900
  5. Step 5: Solve for x
    x = 40,654,656,900/94,557
  6. Step 6: Final answer
    x = 429,948.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.