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Finding the Third Proportional to 116,523 and 128,835

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Solution

The third proportional to 116,523 and 128,835 is: 142,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,523 : 128,835 = 128,835 : x
  2. Step 2: Convert to fraction form
    116,523/128,835 = 128,835/x
  3. Step 3: Cross multiply
    116,523x = 128,835 × 128,835
  4. Step 4: Simplify right side
    116,523x = 16,598,457,225
  5. Step 5: Solve for x
    x = 16,598,457,225/116,523
  6. Step 6: Final answer
    x = 142,447.90

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.