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Finding the Third Proportional to 66,243 and 98,464.50

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Solution

The third proportional to 66,243 and 98,464.50 is: 146,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,243 : 98,464.50 = 98,464.50 : x
  2. Step 2: Convert to fraction form
    66,243/98,464.50 = 98,464.50/x
  3. Step 3: Cross multiply
    66,243x = 98,464.50 × 98,464.50
  4. Step 4: Simplify right side
    66,243x = 9,695,257,760.25
  5. Step 5: Solve for x
    x = 9,695,257,760.25/66,243
  6. Step 6: Final answer
    x = 146,358.98

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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.