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Finding the Third Proportional to 77,036 and 114,915

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Solution

The third proportional to 77,036 and 114,915 is: 171,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,036 : 114,915 = 114,915 : x
  2. Step 2: Convert to fraction form
    77,036/114,915 = 114,915/x
  3. Step 3: Cross multiply
    77,036x = 114,915 × 114,915
  4. Step 4: Simplify right side
    77,036x = 13,205,457,225
  5. Step 5: Solve for x
    x = 13,205,457,225/77,036
  6. Step 6: Final answer
    x = 171,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.