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Finding the Third Proportional to 137,064 and 292,224

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Solution

The third proportional to 137,064 and 292,224 is: 623,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064 : 292,224 = 292,224 : x
  2. Step 2: Convert to fraction form
    137,064/292,224 = 292,224/x
  3. Step 3: Cross multiply
    137,064x = 292,224 × 292,224
  4. Step 4: Simplify right side
    137,064x = 85,394,866,176
  5. Step 5: Solve for x
    x = 85,394,866,176/137,064
  6. Step 6: Final answer
    x = 623,029.14

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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.