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Finding the Third Proportional to 101,531 and 148,833

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Solution

The third proportional to 101,531 and 148,833 is: 218,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,531 : 148,833 = 148,833 : x
  2. Step 2: Convert to fraction form
    101,531/148,833 = 148,833/x
  3. Step 3: Cross multiply
    101,531x = 148,833 × 148,833
  4. Step 4: Simplify right side
    101,531x = 22,151,261,889
  5. Step 5: Solve for x
    x = 22,151,261,889/101,531
  6. Step 6: Final answer
    x = 218,172.40

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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.