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Finding the Third Proportional to 77,049 and 115,263

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Solution

The third proportional to 77,049 and 115,263 is: 172,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049 : 115,263 = 115,263 : x
  2. Step 2: Convert to fraction form
    77,049/115,263 = 115,263/x
  3. Step 3: Cross multiply
    77,049x = 115,263 × 115,263
  4. Step 4: Simplify right side
    77,049x = 13,285,559,169
  5. Step 5: Solve for x
    x = 13,285,559,169/77,049
  6. Step 6: Final answer
    x = 172,430.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.