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Finding the Third Proportional to 69,264 and 101,304

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Solution

The third proportional to 69,264 and 101,304 is: 148,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,264 : 101,304 = 101,304 : x
  2. Step 2: Convert to fraction form
    69,264/101,304 = 101,304/x
  3. Step 3: Cross multiply
    69,264x = 101,304 × 101,304
  4. Step 4: Simplify right side
    69,264x = 10,262,500,416
  5. Step 5: Solve for x
    x = 10,262,500,416/69,264
  6. Step 6: Final answer
    x = 148,165.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.