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Finding the Third Proportional to 66,435 and 98,706

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Solution

The third proportional to 66,435 and 98,706 is: 146,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435 : 98,706 = 98,706 : x
  2. Step 2: Convert to fraction form
    66,435/98,706 = 98,706/x
  3. Step 3: Cross multiply
    66,435x = 98,706 × 98,706
  4. Step 4: Simplify right side
    66,435x = 9,742,874,436
  5. Step 5: Solve for x
    x = 9,742,874,436/66,435
  6. Step 6: Final answer
    x = 146,652.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.