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Finding the Third Proportional to 92,383 and 148,783.50

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Solution

The third proportional to 92,383 and 148,783.50 is: 239,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,383 : 148,783.50 = 148,783.50 : x
  2. Step 2: Convert to fraction form
    92,383/148,783.50 = 148,783.50/x
  3. Step 3: Cross multiply
    92,383x = 148,783.50 × 148,783.50
  4. Step 4: Simplify right side
    92,383x = 22,136,529,872.25
  5. Step 5: Solve for x
    x = 22,136,529,872.25/92,383
  6. Step 6: Final answer
    x = 239,616.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.