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Finding the Third Proportional to 77,632.13 and 116,836.88

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Solution

The third proportional to 77,632.13 and 116,836.88 is: 175,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,632.13 : 116,836.88 = 116,836.88 : x
  2. Step 2: Convert to fraction form
    77,632.13/116,836.88 = 116,836.88/x
  3. Step 3: Cross multiply
    77,632.13x = 116,836.88 × 116,836.88
  4. Step 4: Simplify right side
    77,632.13x = 13,650,855,359.77
  5. Step 5: Solve for x
    x = 13,650,855,359.77/77,632.13
  6. Step 6: Final answer
    x = 175,840.29

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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.