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Finding the Third Proportional to 77,523 and 119,187

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Solution

The third proportional to 77,523 and 119,187 is: 183,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,523 : 119,187 = 119,187 : x
  2. Step 2: Convert to fraction form
    77,523/119,187 = 119,187/x
  3. Step 3: Cross multiply
    77,523x = 119,187 × 119,187
  4. Step 4: Simplify right side
    77,523x = 14,205,540,969
  5. Step 5: Solve for x
    x = 14,205,540,969/77,523
  6. Step 6: Final answer
    x = 183,242.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.