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Finding the Third Proportional to 94,776.75 and 142,549.88

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Solution

The third proportional to 94,776.75 and 142,549.88 is: 214,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,776.75 : 142,549.88 = 142,549.88 : x
  2. Step 2: Convert to fraction form
    94,776.75/142,549.88 = 142,549.88/x
  3. Step 3: Cross multiply
    94,776.75x = 142,549.88 × 142,549.88
  4. Step 4: Simplify right side
    94,776.75x = 20,320,466,862.52
  5. Step 5: Solve for x
    x = 20,320,466,862.52/94,776.75
  6. Step 6: Final answer
    x = 214,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.