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Finding the Third Proportional to 66,339 and 147,501

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Solution

The third proportional to 66,339 and 147,501 is: 327,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 147,501 = 147,501 : x
  2. Step 2: Convert to fraction form
    66,339/147,501 = 147,501/x
  3. Step 3: Cross multiply
    66,339x = 147,501 × 147,501
  4. Step 4: Simplify right side
    66,339x = 21,756,545,001
  5. Step 5: Solve for x
    x = 21,756,545,001/66,339
  6. Step 6: Final answer
    x = 327,960.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.