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Finding the Third Proportional to 77,262 and 119,565

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Solution

The third proportional to 77,262 and 119,565 is: 185,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262 : 119,565 = 119,565 : x
  2. Step 2: Convert to fraction form
    77,262/119,565 = 119,565/x
  3. Step 3: Cross multiply
    77,262x = 119,565 × 119,565
  4. Step 4: Simplify right side
    77,262x = 14,295,789,225
  5. Step 5: Solve for x
    x = 14,295,789,225/77,262
  6. Step 6: Final answer
    x = 185,030.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.