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Finding the Third Proportional to 104,535 and 157,774.50

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Solution

The third proportional to 104,535 and 157,774.50 is: 238,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,535 : 157,774.50 = 157,774.50 : x
  2. Step 2: Convert to fraction form
    104,535/157,774.50 = 157,774.50/x
  3. Step 3: Cross multiply
    104,535x = 157,774.50 × 157,774.50
  4. Step 4: Simplify right side
    104,535x = 24,892,792,850.25
  5. Step 5: Solve for x
    x = 24,892,792,850.25/104,535
  6. Step 6: Final answer
    x = 238,128.79

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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.