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Finding the Third Proportional to 147,064 and 207,092

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Solution

The third proportional to 147,064 and 207,092 is: 291,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,064 : 207,092 = 207,092 : x
  2. Step 2: Convert to fraction form
    147,064/207,092 = 207,092/x
  3. Step 3: Cross multiply
    147,064x = 207,092 × 207,092
  4. Step 4: Simplify right side
    147,064x = 42,887,096,464
  5. Step 5: Solve for x
    x = 42,887,096,464/147,064
  6. Step 6: Final answer
    x = 291,621.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.