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Finding the Third Proportional to 94,561.50 and 201,639

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Solution

The third proportional to 94,561.50 and 201,639 is: 429,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,561.50 : 201,639 = 201,639 : x
  2. Step 2: Convert to fraction form
    94,561.50/201,639 = 201,639/x
  3. Step 3: Cross multiply
    94,561.50x = 201,639 × 201,639
  4. Step 4: Simplify right side
    94,561.50x = 40,658,286,321
  5. Step 5: Solve for x
    x = 40,658,286,321/94,561.50
  6. Step 6: Final answer
    x = 429,966.60

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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.