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Finding the Third Proportional to 64,700 and 137,176

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Solution

The third proportional to 64,700 and 137,176 is: 290,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700 : 137,176 = 137,176 : x
  2. Step 2: Convert to fraction form
    64,700/137,176 = 137,176/x
  3. Step 3: Cross multiply
    64,700x = 137,176 × 137,176
  4. Step 4: Simplify right side
    64,700x = 18,817,254,976
  5. Step 5: Solve for x
    x = 18,817,254,976/64,700
  6. Step 6: Final answer
    x = 290,838.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.