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Finding the Third Proportional to 77,528 and 122,964

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Solution

The third proportional to 77,528 and 122,964 is: 195,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,528 : 122,964 = 122,964 : x
  2. Step 2: Convert to fraction form
    77,528/122,964 = 122,964/x
  3. Step 3: Cross multiply
    77,528x = 122,964 × 122,964
  4. Step 4: Simplify right side
    77,528x = 15,120,145,296
  5. Step 5: Solve for x
    x = 15,120,145,296/77,528
  6. Step 6: Final answer
    x = 195,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.