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Finding the Third Proportional to 64,386.50 and 98,494

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Solution

The third proportional to 64,386.50 and 98,494 is: 150,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,386.50 : 98,494 = 98,494 : x
  2. Step 2: Convert to fraction form
    64,386.50/98,494 = 98,494/x
  3. Step 3: Cross multiply
    64,386.50x = 98,494 × 98,494
  4. Step 4: Simplify right side
    64,386.50x = 9,701,068,036
  5. Step 5: Solve for x
    x = 9,701,068,036/64,386.50
  6. Step 6: Final answer
    x = 150,669.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.