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Finding the Third Proportional to 101,527 and 149,347

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Solution

The third proportional to 101,527 and 149,347 is: 219,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,527 : 149,347 = 149,347 : x
  2. Step 2: Convert to fraction form
    101,527/149,347 = 149,347/x
  3. Step 3: Cross multiply
    101,527x = 149,347 × 149,347
  4. Step 4: Simplify right side
    101,527x = 22,304,526,409
  5. Step 5: Solve for x
    x = 22,304,526,409/101,527
  6. Step 6: Final answer
    x = 219,690.59

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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.