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Finding the Third Proportional to 104,167.50 and 157,710

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Solution

The third proportional to 104,167.50 and 157,710 is: 238,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,167.50 : 157,710 = 157,710 : x
  2. Step 2: Convert to fraction form
    104,167.50/157,710 = 157,710/x
  3. Step 3: Cross multiply
    104,167.50x = 157,710 × 157,710
  4. Step 4: Simplify right side
    104,167.50x = 24,872,444,100
  5. Step 5: Solve for x
    x = 24,872,444,100/104,167.50
  6. Step 6: Final answer
    x = 238,773.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.