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Finding the Third Proportional to 77,137.50 and 116,529

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Solution

The third proportional to 77,137.50 and 116,529 is: 176,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,137.50 : 116,529 = 116,529 : x
  2. Step 2: Convert to fraction form
    77,137.50/116,529 = 116,529/x
  3. Step 3: Cross multiply
    77,137.50x = 116,529 × 116,529
  4. Step 4: Simplify right side
    77,137.50x = 13,579,007,841
  5. Step 5: Solve for x
    x = 13,579,007,841/77,137.50
  6. Step 6: Final answer
    x = 176,036.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.