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Finding the Third Proportional to 77,031 and 116,609.63

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Solution

The third proportional to 77,031 and 116,609.63 is: 176,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031 : 116,609.63 = 116,609.63 : x
  2. Step 2: Convert to fraction form
    77,031/116,609.63 = 116,609.63/x
  3. Step 3: Cross multiply
    77,031x = 116,609.63 × 116,609.63
  4. Step 4: Simplify right side
    77,031x = 13,597,804,642.64
  5. Step 5: Solve for x
    x = 13,597,804,642.64/77,031
  6. Step 6: Final answer
    x = 176,523.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.