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Finding the Third Proportional to 82,080 and 123,585.75

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Solution

The third proportional to 82,080 and 123,585.75 is: 186,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 123,585.75 = 123,585.75 : x
  2. Step 2: Convert to fraction form
    82,080/123,585.75 = 123,585.75/x
  3. Step 3: Cross multiply
    82,080x = 123,585.75 × 123,585.75
  4. Step 4: Simplify right side
    82,080x = 15,273,437,603.06
  5. Step 5: Solve for x
    x = 15,273,437,603.06/82,080
  6. Step 6: Final answer
    x = 186,079.89

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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.