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Finding the Third Proportional to 101,534 and 148,836

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Solution

The third proportional to 101,534 and 148,836 is: 218,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534 : 148,836 = 148,836 : x
  2. Step 2: Convert to fraction form
    101,534/148,836 = 148,836/x
  3. Step 3: Cross multiply
    101,534x = 148,836 × 148,836
  4. Step 4: Simplify right side
    101,534x = 22,152,154,896
  5. Step 5: Solve for x
    x = 22,152,154,896/101,534
  6. Step 6: Final answer
    x = 218,174.75

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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.