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Finding the Third Proportional to 69,080 and 101,354

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Solution

The third proportional to 69,080 and 101,354 is: 148,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,080 : 101,354 = 101,354 : x
  2. Step 2: Convert to fraction form
    69,080/101,354 = 101,354/x
  3. Step 3: Cross multiply
    69,080x = 101,354 × 101,354
  4. Step 4: Simplify right side
    69,080x = 10,272,633,316
  5. Step 5: Solve for x
    x = 10,272,633,316/69,080
  6. Step 6: Final answer
    x = 148,706.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.