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Finding the Third Proportional to 78,862.50 and 122,454

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Solution

The third proportional to 78,862.50 and 122,454 is: 190,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.50 : 122,454 = 122,454 : x
  2. Step 2: Convert to fraction form
    78,862.50/122,454 = 122,454/x
  3. Step 3: Cross multiply
    78,862.50x = 122,454 × 122,454
  4. Step 4: Simplify right side
    78,862.50x = 14,994,982,116
  5. Step 5: Solve for x
    x = 14,994,982,116/78,862.50
  6. Step 6: Final answer
    x = 190,140.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.