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Finding the Third Proportional to 116,252.72 and 170,227.20

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Solution

The third proportional to 116,252.72 and 170,227.20 is: 249,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,252.72 : 170,227.20 = 170,227.20 : x
  2. Step 2: Convert to fraction form
    116,252.72/170,227.20 = 170,227.20/x
  3. Step 3: Cross multiply
    116,252.72x = 170,227.20 × 170,227.20
  4. Step 4: Simplify right side
    116,252.72x = 28,977,298,023.96
  5. Step 5: Solve for x
    x = 28,977,298,023.96/116,252.72
  6. Step 6: Final answer
    x = 249,261.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.