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Finding the Third Proportional to 101,326 and 148,080

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Solution

The third proportional to 101,326 and 148,080 is: 216,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,326 : 148,080 = 148,080 : x
  2. Step 2: Convert to fraction form
    101,326/148,080 = 148,080/x
  3. Step 3: Cross multiply
    101,326x = 148,080 × 148,080
  4. Step 4: Simplify right side
    101,326x = 21,927,686,400
  5. Step 5: Solve for x
    x = 21,927,686,400/101,326
  6. Step 6: Final answer
    x = 216,407.30

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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.