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Finding the Third Proportional to 69,014 and 146,776

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Solution

The third proportional to 69,014 and 146,776 is: 312,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,014 : 146,776 = 146,776 : x
  2. Step 2: Convert to fraction form
    69,014/146,776 = 146,776/x
  3. Step 3: Cross multiply
    69,014x = 146,776 × 146,776
  4. Step 4: Simplify right side
    69,014x = 21,543,194,176
  5. Step 5: Solve for x
    x = 21,543,194,176/69,014
  6. Step 6: Final answer
    x = 312,156.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.