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Finding the Third Proportional to 97,033 and 144,949

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Solution

The third proportional to 97,033 and 144,949 is: 216,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033 : 144,949 = 144,949 : x
  2. Step 2: Convert to fraction form
    97,033/144,949 = 144,949/x
  3. Step 3: Cross multiply
    97,033x = 144,949 × 144,949
  4. Step 4: Simplify right side
    97,033x = 21,010,212,601
  5. Step 5: Solve for x
    x = 21,010,212,601/97,033
  6. Step 6: Final answer
    x = 216,526.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.