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Finding the Third Proportional to 82,289 and 110,312

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Solution

The third proportional to 82,289 and 110,312 is: 147,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289 : 110,312 = 110,312 : x
  2. Step 2: Convert to fraction form
    82,289/110,312 = 110,312/x
  3. Step 3: Cross multiply
    82,289x = 110,312 × 110,312
  4. Step 4: Simplify right side
    82,289x = 12,168,737,344
  5. Step 5: Solve for x
    x = 12,168,737,344/82,289
  6. Step 6: Final answer
    x = 147,878.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.