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Finding the Third Proportional to 64,888 and 98,548

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Solution

The third proportional to 64,888 and 98,548 is: 149,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,888 : 98,548 = 98,548 : x
  2. Step 2: Convert to fraction form
    64,888/98,548 = 98,548/x
  3. Step 3: Cross multiply
    64,888x = 98,548 × 98,548
  4. Step 4: Simplify right side
    64,888x = 9,711,708,304
  5. Step 5: Solve for x
    x = 9,711,708,304/64,888
  6. Step 6: Final answer
    x = 149,668.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.