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Finding the Third Proportional to 66,032 and 99,362

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Solution

The third proportional to 66,032 and 99,362 is: 149,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,032 : 99,362 = 99,362 : x
  2. Step 2: Convert to fraction form
    66,032/99,362 = 99,362/x
  3. Step 3: Cross multiply
    66,032x = 99,362 × 99,362
  4. Step 4: Simplify right side
    66,032x = 9,872,807,044
  5. Step 5: Solve for x
    x = 9,872,807,044/66,032
  6. Step 6: Final answer
    x = 149,515.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.