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Finding the Third Proportional to 66,097.50 and 136,641

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Solution

The third proportional to 66,097.50 and 136,641 is: 282,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,097.50 : 136,641 = 136,641 : x
  2. Step 2: Convert to fraction form
    66,097.50/136,641 = 136,641/x
  3. Step 3: Cross multiply
    66,097.50x = 136,641 × 136,641
  4. Step 4: Simplify right side
    66,097.50x = 18,670,762,881
  5. Step 5: Solve for x
    x = 18,670,762,881/66,097.50
  6. Step 6: Final answer
    x = 282,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.