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Finding the Third Proportional to 64,304 and 93,944

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Solution

The third proportional to 64,304 and 93,944 is: 137,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,304 : 93,944 = 93,944 : x
  2. Step 2: Convert to fraction form
    64,304/93,944 = 93,944/x
  3. Step 3: Cross multiply
    64,304x = 93,944 × 93,944
  4. Step 4: Simplify right side
    64,304x = 8,825,475,136
  5. Step 5: Solve for x
    x = 8,825,475,136/64,304
  6. Step 6: Final answer
    x = 137,246.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.