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Finding the Third Proportional to 106,488 and 151,362

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Solution

The third proportional to 106,488 and 151,362 is: 215,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488 : 151,362 = 151,362 : x
  2. Step 2: Convert to fraction form
    106,488/151,362 = 151,362/x
  3. Step 3: Cross multiply
    106,488x = 151,362 × 151,362
  4. Step 4: Simplify right side
    106,488x = 22,910,455,044
  5. Step 5: Solve for x
    x = 22,910,455,044/106,488
  6. Step 6: Final answer
    x = 215,145.89

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.