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Finding the Third Proportional to 66,444 and 102,988

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Solution

The third proportional to 66,444 and 102,988 is: 159,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,444 : 102,988 = 102,988 : x
  2. Step 2: Convert to fraction form
    66,444/102,988 = 102,988/x
  3. Step 3: Cross multiply
    66,444x = 102,988 × 102,988
  4. Step 4: Simplify right side
    66,444x = 10,606,528,144
  5. Step 5: Solve for x
    x = 10,606,528,144/66,444
  6. Step 6: Final answer
    x = 159,631.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.