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Finding the Third Proportional to 94,830.75 and 140,119.88

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Solution

The third proportional to 94,830.75 and 140,119.88 is: 207,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,830.75 : 140,119.88 = 140,119.88 : x
  2. Step 2: Convert to fraction form
    94,830.75/140,119.88 = 140,119.88/x
  3. Step 3: Cross multiply
    94,830.75x = 140,119.88 × 140,119.88
  4. Step 4: Simplify right side
    94,830.75x = 19,633,579,370.02
  5. Step 5: Solve for x
    x = 19,633,579,370.02/94,830.75
  6. Step 6: Final answer
    x = 207,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.