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Finding the Third Proportional to 104,430 and 152,871

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Solution

The third proportional to 104,430 and 152,871 is: 223,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,430 : 152,871 = 152,871 : x
  2. Step 2: Convert to fraction form
    104,430/152,871 = 152,871/x
  3. Step 3: Cross multiply
    104,430x = 152,871 × 152,871
  4. Step 4: Simplify right side
    104,430x = 23,369,542,641
  5. Step 5: Solve for x
    x = 23,369,542,641/104,430
  6. Step 6: Final answer
    x = 223,781.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.