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Finding the Third Proportional to 76,603.50 and 116,487

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Solution

The third proportional to 76,603.50 and 116,487 is: 177,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,603.50 : 116,487 = 116,487 : x
  2. Step 2: Convert to fraction form
    76,603.50/116,487 = 116,487/x
  3. Step 3: Cross multiply
    76,603.50x = 116,487 × 116,487
  4. Step 4: Simplify right side
    76,603.50x = 13,569,221,169
  5. Step 5: Solve for x
    x = 13,569,221,169/76,603.50
  6. Step 6: Final answer
    x = 177,135.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.