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Finding the Third Proportional to 64,306 and 98,919

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Solution

The third proportional to 64,306 and 98,919 is: 152,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 98,919 = 98,919 : x
  2. Step 2: Convert to fraction form
    64,306/98,919 = 98,919/x
  3. Step 3: Cross multiply
    64,306x = 98,919 × 98,919
  4. Step 4: Simplify right side
    64,306x = 9,784,968,561
  5. Step 5: Solve for x
    x = 9,784,968,561/64,306
  6. Step 6: Final answer
    x = 152,162.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.