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Finding the Third Proportional to 113,959.50 and 176,913

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Solution

The third proportional to 113,959.50 and 176,913 is: 274,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,959.50 : 176,913 = 176,913 : x
  2. Step 2: Convert to fraction form
    113,959.50/176,913 = 176,913/x
  3. Step 3: Cross multiply
    113,959.50x = 176,913 × 176,913
  4. Step 4: Simplify right side
    113,959.50x = 31,298,209,569
  5. Step 5: Solve for x
    x = 31,298,209,569/113,959.50
  6. Step 6: Final answer
    x = 274,643.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.